BF description of higher-dimensional gravity theories
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In the first-order formalism, pure three-dimensional gravity is just the BF theory.Similarly, four-dimensional general relativity can be formulated as BF theory with an additional constraint term added to the Lagrangian.In this paper we show
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Important results on deriving black hole entropy were obtained in canonical loop quantum gravity [117], and a first attempt in a 3D spin foam model is in [118], but a complete satisfactory procedure in four dimensions is still missing.
“Important results were already obtained in the canonical loop quantum gravity approach [117], and a first attempt to perform this derivation in the context of a spin foam model in 3D is in [118], but a complete and satisfactory procedure in the four-dimensional case is still missing and would be of paramount importance.”
From Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity (2001) · cites this paper as [118]
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Cites
New Variables for Classical and Quantum Gravity
Ashtekar, A. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.2244 · Cited by 1,663 · see citing works
New Hamiltonian formulation of general relativity
Ashtekar, A. (1987) · Physical Review D · doi:10.1103/physrevd.36.1587 · Cited by 1,119 · see citing works
(1998) · doi:10.12942/lrr-1998-1 · Cited by 917 · see citing works
Representation Theory of Semisimple Groups
Knapp, A. W. (1986) · Princeton University Press eBooks · doi:10.1515/9781400883974 · Cited by 754 · see citing works
On the separation of Einsteinian substructures
Plebański, J. F. (1977) · Journal of Mathematical Physics · doi:10.1063/1.523215 · Cited by 499 · see citing works
Relativistic Spin Networks and Quantum GravityPreprint
Barrett, J. W., Crane, L., & Crane, J. W. B. L. (1998) · Cited by 423 · see citing works
Baez, J. C. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/7/004 · Cited by 381 · see citing works
“Sum over surfaces” form of loop quantum gravity
Reisenberger, M. P., & Rovelli, C. (1997) · Physical Review D · doi:10.1103/physrevd.56.3490 · Cited by 372 · see citing works
Spin foam models and the classical action principle
Freidel, L., & Krasnov, K. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n6.a1 · Cited by 195 · see citing works
Self-citation<i>so</i> (4) Plebanski action and relativistic spin-foam model
Pietri, R. D., & Freidel, L. (1999) · Classical and Quantum Gravity · doi:10.1088/0264-9381/16/7/303 · Cited by 182 · see citing works
Self-citationRepresentation of Lie Groups and Special Functions
Vilenkin, N. J., & Klimyk, A. U. (1993) · Mathematics and its applications. Soviet series · doi:10.1007/978-94-017-2883-6 · Cited by 137 · see citing works
Projector on physical states in loop quantum gravity
Rovelli, C. (1999) · Physical Review D · doi:10.1103/physrevd.59.104015 · Cited by 95 · see citing works
Four-dimensional Yang-Mills theory as a deformation of topological BF theory
Cattaneo, A. S., Cotta-Ramusino, P., Fucito, F., Martellini, M., Rinaldi, M., Σ, A. T., & Zeni, M. (1998) · Zurich Open Repository and Archive (University of Zurich) · doi:10.5167/uzh-22182 · Cited by 55 · see citing works
The BF formalism for QCD and quark confinement
Fucito, F., Martellini, M., & Zeni, M. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)00216-2 · Cited by 38 · see citing works
New Constraints for Canonical General RelativityPreprint
Reisenberger, M. (1995) · Cited by 36 · see citing works
Spin Foam Models and the Classical Action Principle
(1998) · doi:10.48550/arxiv.hep-th/9807092 · Cited by 17 · see citing works
1+1 sector of 3+1 gravityPreprint
Ted Jacobson, A. (1996) · Cited by 13 · see citing works
Degenerate sectors of the Ashtekar gravity
Lewandowski, J., & Wiśniewski, J. (1999) · Classical and Quantum Gravity · doi:10.1088/0264-9381/16/10/303 · Cited by 9 · see citing works
Darboux coordinates for (first order) tetrad gravityPreprint
Máximo Bañados, A., Mauricio Contreras, G., & Chile, S. (1998) · Cited by 9 · see citing works
Discrete Space-Time Volume for 3-Dimensional BF Theory and Quantum Gravity
Freidel, L., & Krasnov, K. (1998) · CERN Document Server (European Organization for Nuclear Research) · doi:10.48550/arxiv.hep-th/9804185
Self-citation
Flagged first, then by citations
Research works printed but not linked: 5
- R. Capovilla, J. Dell, T. Jacobson, and L. Mason, Self-dual two- forms and gravity, Class. Quant. Grav., 8 (1991), 41-57.
- gravity, Class. Quant. Grav., 13 (1996), L111-L116; Erratim-ibid., 13 (1996), 3269.
- M. Reisenberger, On a simplicial model of 4-d general relativ- ity, talk given at Penn State, April 1996; A lattice worldsheet sum for 4-d Euclidean general relativity, preprint available as gr- qc/9711052.
- M. Reisenberger, On relativisiic spin network vertices, preprint available as gr-qc/9809067. · arXiv
- C. Rovelli, Loop quantum gravity, review written for the electronic journal Living Reviews, available as gr-qc/9710008. · arXiv
Cited by
Sorted by citations
Background independent quantum gravity: a status report
Ashtekar, A., & Lewandowski, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/r01 · Cited by 1,951 · see citing works
A new spin foam model for 4D gravity
Freidel, L., & Krasnov, K. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/12/125018 · Cited by 521 · see citing works
Self-citationGroup Field Theory: An Overview
Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378 · see citing works
Self-citationLectures on Loop Quantum GravityPreprint
Thiemann, T. (2003) · Cited by 286 · see citing works
Group Field Theory: An overview
Freidel, L. (2005) · CERN Document Server (European Organization for Nuclear Research) · Cited by 249 · see citing works
Self-citationQuantum symmetry, the cosmological constant and Planck-scale phenomenology
Amelino-Camelia, G., Smolin, L., & Starodubtsev, A. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/13/002 · Cited by 228 · see citing works
Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity
Oriti, D. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/12/203 · Cited by 201 · see citing works
Spin foam models and the classical action principle
Freidel, L., & Krasnov, K. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n6.a1 · Cited by 195 · see citing works
Self-citationAlexandrov, S., & Livine, E. R. (2003) · Physical Review D · doi:10.1103/physrevd.67.044009 · Cited by 141 · see citing works
AN INVITATION TO LOOP QUANTUM GRAVITY
Smolin, L. (2004) · International Symposium on Quantum Theory and Symmetries (QTS) · doi:10.1142/9789812702340_0078 · Cited by 155 · see citing works
Phase space descriptions for simplicial 4D geometries
Dittrich, B., & Ryan, J. P. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/6/065006 · Cited by 140 · see citing works
Quantum gravity with a positive cosmological constantPreprint
Smolin, L. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0209079 · Cited by 152 · see citing works
Edge modes of gravity. Part III. Corner simplicity constraints
Freidel, L., Geiller, M., & Pranzetti, D. (2021) · Journal of High Energy Physics · doi:10.1007/jhep01(2021)100 · Cited by 109 · see citing works
Self-citationQuantum gravity in terms of topological observablesPreprint
Freidel, L., & Starodubtsev, A. N. (2005) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0501191 · Cited by 132 · see citing works
Self-citationHamiltonian analysis of Plebanski theory
Buffenoir, E., Marc Henneaux, A., Noui, K., & Roche, P. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/22/012 · Cited by 95 · see citing works
Quantum deformation of two four-dimensional spin foam models
Fairbairn, W. J., & Meusburger, C. (2012) · Journal of Mathematical Physics · doi:10.1063/1.3675898 · Cited by 102 · see citing works
Quantum geometry from phase space reduction
Conrady, F., & Freidel, L. (2009) · Journal of Mathematical Physics · doi:10.1063/1.3257109 · Cited by 97 · see citing works
Self-citationFalsifiable predictions from semiclassical quantum gravity
Smolin, L. (2006) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2006.02.017 · Cited by 95 · see citing works
How far are we from the quantum theory of gravity?Preprint
Smolin, L. (2003) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0303185 · Cited by 121 · see citing works
New variables for classical and quantum gravity in all dimensions: I. Hamiltonian analysis
Bodendorfer, N., Thiemann, T., & Thurn, A. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/4/045001 · Cited by 84 · see citing works
Spin Foams and Canonical Quantization
Alexandrov, S. Y. (2012) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2012.055 · Cited by 93 · see citing works
Cosmological deformation of Lorentzian spin foam models
Noui, K., & Roche, P. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/14/318 · Cited by 71 · see citing works
3D spinfoam quantum gravity: matter as a phase of the group field theory
Fairbairn, W. J., & Livine, E. R. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/20/021 · Cited by 72 · see citing works
New variables for classical and quantum gravity in all dimensions: III. Quantum theory
Bodendorfer, N., Thiemann, T., & Thurn, A. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/4/045003 · Cited by 71 · see citing works
New variables for classical and quantum gravity in all dimensions: II. Lagrangian analysis
Bodendorfer, N., Thiemann, T., & Thurn, A. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/4/045002 · Cited by 69 · see citing works
Newtonian gravity in loop quantum gravityPreprint
Smolin, L. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1001.3668 · Cited by 63 · see citing works
Gravity and unification: a review
Krasnov, K., & Roberto Percacci, A. (2018) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aac58d · Cited by 59 · see citing works
Self-citationBF gravity and the Immirzi parameter
Capovilla, R., Montesinos, M., Prieto, V. A., & Rojas, E. (2001) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/5/101 · Cited by 55 · see citing works
Spin foam model from canonical quantization
Alexandrov, S. Y. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.024009 · Cited by 55 · see citing works
Integrability for relativistic spin networks
Baez, J. C., & Barrett, J. W. (2001) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/21/316 · Cited by 54 · see citing works
Celada, M., González, D., & Montesinos, M. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/21/213001 · Cited by 51 · see citing works
Livine, R. E., & Oriti, D. (2002) · Physical Review D · doi:10.1103/physrevd.65.044025 · Cited by 46 · see citing works
The strong and weak holographic principlesPreprint
Smolin, L., & Bounds, I. E. (2001) · Cited by 44 · see citing works
BF gravity and the Immirzi parameter
Capovilla, R., Montesinos, M., PRIETO, V. A., & Rojas, E. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 43 · see citing works
Simple spin networks as Feynman graphs
Freidel, L., & Krasnov, K. (2000) · Journal of Mathematical Physics · doi:10.1063/1.533203 · Cited by 42 · see citing works
Self-citationCritical overview of loops and foams
Alexandrov, S. Y., & Roche, P. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.05.002 · Cited by 42 · see citing works
Hamiltonian analysis of non-chiral Plebanski theory and its generalizations
Alexandrov, S. Y., & Krasnov, K. V. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/5/055005 · Cited by 41 · see citing works
Self-citationNew Variables for Classical and Quantum (Super)-Gravity in all Dimensions
Thiemann, T., Bodendorfer, N., & Thurn, A. (2013) · doi:10.22323/1.140.0022 · Cited by 40 · see citing works
Simple Spin Networks as Feynman Graphs
Freidel, L., & Krasnov, K. V. (2000) · CERN Document Server (European Organization for Nuclear Research) · Cited by 40 · see citing works
Self-citationChiou, D.-W. (2014) · International Journal of Modern Physics D · doi:10.1142/s0218271815300050 · Cited by 39 · see citing works
Towards Loop Quantum Supergravity (LQSG)
Bodendorfer, N., Thiemann, T., & Thurn, A. (2012) · Physics Letters B · doi:10.1016/j.physletb.2012.04.003 · Cited by 36 · see citing works
On the Relations between Gravity and BF Theories
Freidel, L. (2012) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2012.032 · Cited by 42 · see citing works
Self-citationClassical general relativity as BF-Plebanski theory with linear constraints
Gielen, S., & Oriti, D. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/18/185017 · Cited by 35 · see citing works
An elementary introduction to loop quantum gravityPreprint
Bodendorfer, N. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1607.05129 · Cited by 45 · see citing works
On the implementation of the canonical quantum simplicity constraint
Bodendorfer, N., Thiemann, T., & Thurn, A. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/4/045005 · Cited by 33 · see citing works
Black hole entropy from loop quantum gravity in higher dimensions
Bodendorfer, N. (2013) · Physics Letters B · doi:10.1016/j.physletb.2013.09.043 · Cited by 32 · see citing works
3 New Variables for Classical and Quantum Gravity in all Dimensions IV. Matter CouplingPreprint
Bodendorfer, N., Thiemann, T., & Thurn, A. (2013) · Cited by 31 · see citing works
3 Towards Loop Quantum Supergravity (LQSG) I. Rarita-Schwinger SectorPreprint
Bodendorfer, N., Thiemann, T., & Thurn, A. (2013) · Cited by 31 · see citing works
Coherent intertwiner solution of simplicity constraint in all dimensional loop quantum gravity
Long, G., Lin, C.-Y., & Ma, Y. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.100.064065 · Cited by 30 · see citing works
Fermions in three-dimensional spinfoam quantum gravity
Fairbairn, W. J. (2007) · General Relativity and Gravitation · doi:10.1007/s10714-006-0395-x · Cited by 30 · see citing works
Timelike surfaces in Lorentz covariant loop gravity and spin foam models
Alexandrov, S. Y., & Kádár, Z. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/17/010 · Cited by 29 · see citing works
Positivity of spin foam amplitudes
Baez, J. C., & Christensen, J. D. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/8/316 · Cited by 29 · see citing works
Jercher, A. F., Oriti, D., & Pithis, A. G. A. (2022) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2022/01/050 · Cited by 26 · see citing works
A note on entanglement entropy and quantum geometry
Bodendorfer, N. (2014) · Classical and Quantum Gravity · doi:10.1088/0264-9381/31/21/214004 · Cited by 25 · see citing works
Bodendorfer, N., Thiemann, T., & Thurn, A. (2014) · Classical and Quantum Gravity · doi:10.1088/0264-9381/31/5/055002 · Cited by 29 · see citing works
Towards loop quantum supergravity (LQSG): I. Rarita–Schwinger sector
Bodendorfer, N., Thiemann, T., & Thurn, A. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/4/045006 · Cited by 24 · see citing works
The cosmological constant and the deconstruction of gravity
Jejjala, V., Leigh, R. G., & Minić, D. (2003) · Physics Letters B · doi:10.1016/s0370-2693(03)00101-1 · Cited by 25 · see citing works
Three-dimensional Quantum Supergravity and Supersymmetric Spin Foam Models
Livine, E. R., & Oeckl, R. (2003) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2003.v7.n6.a2 · Cited by 23 · see citing works
A new class of group field theories for first order discrete quantum gravity
Oriti, D., & Tlas, T. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/8/085011 · Cited by 23 · see citing works
New variables for classical and quantum gravity in all dimensions: IV. Matter coupling
Bodendorfer, N., Thiemann, T., & Thurn, A. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/4/045004 · Cited by 22 · see citing works
Dual variables and a connection picture for the Euclidean Barrett–Crane model
Pfeiffer, H. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/6/306 · Cited by 22 · see citing works
Towards an Ashtekar formalism in eight dimensions
Nieto, J. A. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/6/004 · Cited by 22 · see citing works
The Spinfoam Framework for Quantum GravityPreprint
Livine, E. R. (2010) · Cited by 22 · see citing works
Doubly Special Relativity as a Limit of Gravity
Imiłkowska, K., & Kowalski-Glikman, J. (2006) · Springer eBooks · doi:10.1007/3-540-34523-x_10 · Cited by 21 · see citing works
Bartolo, C. D., Gambini, R., Griego, J., & Pullin, J. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/16/310 · Cited by 21 · see citing works
Polytopes in all dimensional loop quantum gravity
Long, G., & Ma, Y. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-09988-2 · Cited by 18 · see citing works
Continuous point symmetries in group field theories
Kegeles, A., & Oriti, D. (2017) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/aa5c14 · Cited by 16 · see citing works
An action for higher spin gauge theory in four dimensionsPreprint
Doroud, N., & Smolin, L. (2011) · arXiv (Cornell University) · doi:10.48550/arxiv.1102.3297 · Cited by 16 · see citing works
Wald entropy formula and loop quantum gravity
Bodendorfer, N., & Neiman, Y. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.084054 · Cited by 17 · see citing works
Perelomov-type coherent states of SO ( D + 1 ) in all-dimensional loop quantum gravity
Long, G., & Bodendorfer, N. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.102.126004 · Cited by 15 · see citing works
Different types of torsion and their effect on the dynamics of fields
Chakrabarty, S., & Lahiri, A. (2018) · The European Physical Journal Plus · doi:10.1140/epjp/i2018-12070-6 · Cited by 15 · see citing works
Gauge-invariant massive BF models
Bizdadea, C., & Saliu, S. O. (2016) · The European Physical Journal C · doi:10.1140/epjc/s10052-016-3913-3 · Cited by 14 · see citing works
On the symmetries of BF models and their relation with gravity
Constantinidis, C. P., Piguet, O., François Gieres, B., & Sarandy, M. S. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/01/017 · Cited by 13 · see citing works
Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model
Bizdadea, C., Cioroianu, E. M., Danehkar, A., Iordache, M., Saliu, S. O., & Săraru, S. C. (2009) · The European Physical Journal C · doi:10.1140/epjc/s10052-009-1105-0 · Cited by 13 · see citing works
Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity
Bonzom, V. (2012) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2012.009 · Cited by 12 · see citing works
A quantization of topological M theory
Smolin, L. (2006) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2006.01.016 · Cited by 12 · see citing works
Consistent interactions of dual linearized gravity in D = 5: couplings with a topological BF model
Bizdadea, C., Cioroianu, E. M., Danehkar, A., Iordache, M., Saliu, S. O., & Săraru, S. C. (2010) · Cited by 12 · see citing works
Thermodynamics of isolated horizons in loop quantum gravity
Song, S., Long, G., Zhang, C., & Zhang, X. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.106.126007 · Cited by 10 · see citing works
Bizdadea, C., Cioroianu, E. M., Saliu, S. O., Săraru, S. C., & Iordache, M. (2008) · The European Physical Journal C · doi:10.1140/epjc/s10052-008-0720-5 · Cited by 10 · see citing works
Entropy of higher dimensional nonrotating isolated horizons from loop quantum gravity
Wang, J., & Huang, C.-G. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/3/035026 · Cited by 12 · see citing works
Topological field theories in n -dimensional spacetimes and Cartan’s equations
Cuesta, V., Montesinos, M., Velázquez, M., & Vergara, J. D. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.78.064046 · Cited by 10 · see citing works
Supergravity and Yang-Mills theories as generalized topological fields with constraints
Ling, Y., Tung, R.-S., & Guo, H.-Y. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.044045 · Cited by 10 · see citing works
Quantum Gravity at the Turn of the MillenniumPreprint
Horowitz, G. T. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0011089 · Cited by 10 · see citing works
Area propagator and boosted spin networks in loop quantum gravity
Livine, E. R. (2019) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab32d4 · Cited by 9 · see citing works
Formulations of General Relativity
Krasnov, K. V. (2020) · Cambridge University Press eBooks · doi:10.1017/9781108674652 · Cited by 52 · see citing works
Self-citationBibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
Corichi, A., & Hauser, A. (2005) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0509039 · Cited by 9 · see citing works
DUAL LINEARIZED GRAVITY COUPLED TO BF-TYPE TOPOLOGICAL FIELD THEORIES IN D = 7
Bizdadea, C., Saliu, S. O., & Stanciu-Oprean, L. (2012) · Modern Physics Letters A · doi:10.1142/s0217732312501374 · Cited by 8 · see citing works
General relativity from three-forms in seven dimensions
Krasnov, K. V. (2017) · Physics Letters B · doi:10.1016/j.physletb.2017.06.025 · Cited by 8 · see citing works
Self-citationGauge fixing of Chern-Simons N-extended supergravity
Ney, W. G., Piguet, O., & Spalenza, W. (2004) · The European Physical Journal C · doi:10.1140/epjc/s2004-01818-1 · Cited by 8 · see citing works
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Morton, J. C. (2007) · arXiv (Cornell University) · doi:10.48550/arxiv.0710.0032 · Cited by 8 · see citing works
Spinfoam Models for Quantum Gravity
Livine, E. R. (2024) · Encyclopedia of Mathematical Physics · doi:10.1016/b978-0-323-95703-8.00253-6 · Cited by 8 · see citing works
Twisted geometry coherent states in all dimensional loop quantum gravity. II. Ehrenfest property
Long, G. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.106.066021 · Cited by 7 · see citing works
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Alexandrov, S. Y. (2012) · Classical and Quantum Gravity · doi:10.1088/0264-9381/29/14/145018 · Cited by 7 · see citing works
Superfield description of a self-dual supergravity in the context of MacDowell–Mansouri theory
Nieto, J. A. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/13/006 · Cited by 7 · see citing works
A Short and Subjective Introduction to the Spinfoam Framework for Quantum GravityPreprint
Livine, E. R. (2011) · arXiv (Cornell University) · doi:10.48550/arxiv.1101.5061 · Cited by 7 · see citing works
Girelli, F., Osumanu, A., & Wieland, W. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.105.044003 · Cited by 6 · see citing works
Antiself-dual gravity and supergravity from a pure connection formulation
Rosales-Quintero, J. E. (2016) · International Journal of Modern Physics A · doi:10.1142/s0217751x16500640 · Cited by 6 · see citing works
On the generalized Freedman-Townsend model
Bizdadea, C., Cioroianu, E. M., Negru, I., Saliu, S. O., & Săraru, S. C. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/10/004 · Cited by 6 · see citing works
COUPLINGS BETWEEN A COLLECTION OF BF MODELS AND A SET OF THREE-FORM GAUGE FIELDS
Bizdadea, C., Cioroianu, E. M., & Săraru, S. C. (2006) · International Journal of Modern Physics A · doi:10.1142/s0217751x06034331 · Cited by 6 · see citing works
Higher form Yang–Mills as higher BFYM theories
Song, D., Lou, K., Wu, K., & Yang, J. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-11020-6 · Cited by 5 · see citing works
- Authors
- Freidel, L., Krasnov, K., & Puzio, R.
- Affiliations
- École Normale Supérieure de Lyon (FR)
- Pennsylvania State University (US)
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 1999
- Volume
- 3
- Issue
- 5
- Pages
- 1289-1324
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2963328975
- Cited by
- 137
- References
- 19
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 2 · 2023: 1 · 2022: 9 · 2021: 3 · 2020: 5 · 2019: 4 · 2018: 2 · 2017: 2 · 2016: 4 · 2015: 3 · 2014: 5 · 2013: 10 · 2012: 8
- FWCI
- 4.36
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Advances in Theoretical and Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9514240)
- University of Pennsylvania
- Pennsylvania State University
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- BF theory, higher-dimensional gravity, first-order formalism, three-dimensional gravity, general relativity, Lagrangian constraints
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