Unified Geometric Theory of Gravity and Supergravity

Consistent supergravity

Deser, S., & Zumino, B. (1976) · Physics Letters B · doi:10.1016/0370-2693(76)90089-7 · Cited by 1,071

Progress toward a theory of supergravity

Freedman, D. Z., van Nieuwenhuizen, P., & Ferrara, S. (1976) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.13.3214 · Cited by 926

Semisimple graded Lie algebras

Pais, A., & Rittenberg, V. (1975) · Journal of Mathematical Physics · doi:10.1063/1.522421 · Cited by 144

Generalized super-gauge symmetry as a new framework for unified gauge theories

Nath, P., & Arnowitt, R. (1975) · Physics Letters B · doi:10.1016/0370-2693(75)90297-x · Cited by 135

Gravitation as a gauge theory

Mansouri, F., & Chang, L. N. (1976) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.13.3192 · Cited by 118

SO(3)-Invariant Extended Supergravity

Freedman, D. Z. (1977) · Physical Review Letters · doi:10.1103/physrevlett.38.105 · Cited by 95

Locally Supersymmetric Maxwell-Einstein Theory

Ferrara, S., Scherk, J., & van Nieuwenhuizen, P. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.1035 · Cited by 88

Geometry of superspaces with Bose and Fermi coordinates and applications to graded Lie bundles and supergravity

Mansouri, F. (1977) · Journal of Mathematical Physics · doi:10.1063/1.523141 · Cited by 22

Branes as solutions of gauge theories in gravitational field

Zheltukhin, A. A. (2014) · The European Physical Journal C · doi:10.1140/epjc/s10052-014-3048-3 · Cited by 1

Conformal holonomy in MacDowell-Mansouri gravity

Reid, J. A., & Wang, C. H.-T. (2014) · Journal of Mathematical Physics · doi:10.1063/1.4867337 · Cited by 1

SUPERGROUP BF ACTION FOR SUPERGRAVITY

Ramírez, C., & Rosales, E. D. (2012) · International Journal of Modern Physics A · doi:10.1142/s0217751x12500807 · Cited by 1

Geometry of mass

Dietrich, D. D. (2015) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2014.0242 · Cited by 1

Новый подход к вычислению спектра квантового пространства-времени

Starodubtsev, A. N. (2017) · Теоретическая и математическая физика · doi:10.4213/tmf9128 · Cited by 1

Topological Interplay between Knots and Entangled Vortex-Membranes

Kou, S.-P. (2018) · InTech eBooks · doi:10.5772/intechopen.72809 · Cited by 1

Gauge supergravity in D = 2 + 2

Castellani, L. (2017) · Journal of High Energy Physics · doi:10.1007/jhep10(2017)062 · Cited by 1

Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action

Gracia, G., & Pimentel, B. M. (2020) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-020-00447-z · Cited by 1

The role of the 1.5 order formalism and the gauging of spacetime groups in the development of gravity and supergravity theories

Chamseddine, A. H., & West, P. (2022) · Modern Physics Letters A · doi:10.1142/s0217732322300051 · Cited by 1

Embedding of the Georgi-Glashow SU(5) model in the superconformal algebra

Alvarez, P. D., Chavez, R., & Zanelli, J. (2023) · Journal of High Energy Physics · doi:10.1007/jhep02(2023)050 · Cited by 1

Unification of Conformal and Fuzzy Gravities With Internal Interactions Resulting in SO(10) and a Possible Probe Through Stochastic Gravitational Wave Background

Patellis, G., Roumelioti, D., Stefas, S., & Zoupanos, G. (2025) · Fortschritte der Physik · doi:10.1002/prop.70014 · Cited by 2

Chern-Simons inspired massive gravity

Chagoya, J., Sabido, M., & Silva-García, A. (2025) · Physical review. D/Physical review. D. · doi:10.1103/zs9s-2tg7 · Cited by 1

Plane-fronted waves from 5D Chern-Simons gravity

Macı́as, A., & Lozano, E. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.67.085009 · Cited by 1

Unification based on SO*(14) Yang-Mills theory: the gauge field Lagrangian

Verwimp, T. (1994) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/27/8/015 · Cited by 1

Einstein–Born–Infeld gravastar models, dark matter and accretion mechanisms

Cirilo-Lombardo, D. J., & Vigh, C. (2019) · International Journal of Modern Physics D · doi:10.1142/s0218271819501086 · Cited by 1

Динамическое образование массы Планка и темной энергии в аффинной гравитации

Kharuk, I. V. (2021) · Теоретическая и математическая физика · doi:10.4213/tmf10069 · Cited by 1

Resonant superalgebras for supergravity

Durka, R., & Graczyk, K. M. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-10156-9 · Cited by 1

On the Geometric Approach to the Boundary Problem in Supergravity

Andrianopoli, L., & Ravera, L. (2021) · Universe · doi:10.3390/universe7120463 · Cited by 1

Affine Connection Representation of Gauge Fields

Man, Z.-H. (2022) · Advances in High Energy Physics · doi:10.1155/2022/4573981

Cosmology of a Polynomial Model for de Sitter Gauge Theory Sourced by a Fluid

Lu, J.-A. (2022) · Physics · doi:10.3390/physics4040076 · Cited by 1

Quantization of Supergravity with a Cosmological Constant

Duff, M. J. (1980) · Springer eBooks · doi:10.1007/978-1-4613-3171-1_19 · Cited by 1

Supergravity as a Gauge Theory

Hirshfeld, A. C. (1988) · Springer eBooks · doi:10.1007/978-1-4615-9522-9_9 · Cited by 1

Superalgebras, Supergroups and Geometric Gauging

Ne’eman, Y. (1980) · Springer eBooks · doi:10.1007/978-1-4613-3123-0_10 · Cited by 1

Self-Dual Conformal Supergravity and the Hamiltonian Formulation

Chee, G., & Jia, Y. (2001) · General Relativity and Gravitation · doi:10.1023/a:1013098909922 · Cited by 1

Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgroundsPreprint

Leclercq, S. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1009.4834 · Cited by 1

Gauge and spacetime connections in the Plebanski formulation of complex general relativityPreprint

González, D., Montesinos, M., & Velázquez, M. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1204.4225 · Cited by 1

Supergravity in the physics of particles and fields

Ferrara, S. (2008) · Springer eBooks · doi:10.1007/3-540-08848-2_2 · Cited by 1

Semigroup Expansion and M-Supergravity in Eleven DimensionsPreprint

Izaurieta, F. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0611238 · Cited by 1

Killing vectors, constraints and conserved charges in Kaluza-Klein theories

Blau, M. (1987) · Classical and Quantum Gravity · doi:10.1088/0264-9381/4/5/020 · Cited by 1

GOLDSTONE FIELDS IN THE SUPERSTRING THEORY

Pollock, M. D. (2008) · International Journal of Modern Physics D · doi:10.1142/s0218271808011882 · Cited by 1

A simple approach to supergravity

Finkelstein, R. J. (1979) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(79)90209-7 · Cited by 1

Four Lectures at the 1979 Erice School on Spin, Torsion, Rotation and Supergravity

van Nieuwenhuizen, P. (1980) · Springer eBooks · doi:10.1007/978-1-4613-3123-0_11 · Cited by 1

Generalized gauge theories with nonunitary parallel transport: * General relativity with cosmological constant as an example

Mack, G., & Prüstel, T. (2006) · The European Physical Journal C · doi:10.1140/epjc/s2005-02443-2 · Cited by 1

Self-dual formulation of the four-dimensional Chamseddine’s gauge theory of gravity

Han, X. W., & Chee, G. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.084006 · Cited by 1

Dynamics of higher spin gauge fields in AdS d space of dimension d ≥ 5

Alkalaev, K. (2006) · Physics of Particles and Nuclei · doi:10.1134/s1063779606050030 · Cited by 1

Kaluza-Klein theory from the viewpoint of gauge theory of gravity

Fukuyama, T. (1988) · General Relativity and Gravitation · doi:10.1007/bf00759260 · Cited by 1

Topological quantum field theory and quantum gravityPreprint

Kerr, S. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1408.1449 · Cited by 1

Geometric Aspects of Gauge and Spacetime SymmetriesPreprint

Gielen, S. (2011) · arXiv (Cornell University) · doi:10.17863/cam.16103 · Cited by 1

Causal Space-Times on a Null LatticePreprint

Schaden, M. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1509.03095 · Cited by 3

UNIFIED SELF-DUAL GAUGE THEORY OF GRAVITATIONAL AND ELECTROMAGNETIC FIELDS

Zet, G. (2005) · Cited by 1

Unified Geometric Condensate Theory: Complete FormulationPreprint

Wilson, J. J. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.4763886 · Cited by 1

Consistent and non-consistent deformations of gravitational theories

G., J. F. B., Basquens, M., Díaz, B., & Villaseñor, E. J. S. (2022) · Journal of High Energy Physics · doi:10.1007/jhep05(2022)175 · Cited by 4

Noncommutative $$D=5$$ Chern–Simons gravity: Kaluza–Klein reduction and chiral gravitational anomaly

Ɖorđević, D., & Gočanin, D. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-10657-7

Spontaneous Breaking of Lorentz Symmetry for Canonical Gravity

Gielen, S. (2014) · Springer proceedings in physics · doi:10.1007/978-3-319-06761-2_70

Anti-De Sitter Black Holes and Their Superpartners in 2+1 Dimensions

Fernando, S., & Mansouri, F. (2006) · Kluwer Academic Publishers eBooks · doi:10.1007/0-306-47085-3_3

Anti-de Sitter space from supersymmetric gauge theoryPreprint

Catterall, S. M. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0812.2901

The Road to Gravitational S-Duality

García‐Compeán, H., Obregón, O., Ramírez, C., & Sabido, M. (2005) · Kluwer Academic Publishers eBooks · doi:10.1007/0-306-47115-9_11

The Classical Space-Time from The Chern Simons Gauge Theory of Gravity

Mansouri, F. (1995) · Springer eBooks · doi:10.1007/978-1-4615-1923-2_22

Gravitational Energy-Momentum in the Tetrad and Quadratic Spinor Representations of General Relativity

Tung, R.-S., & Nester, J. M. (2002) · Springer eBooks · doi:10.1007/0-306-48052-2_27

Recent developments in superconformal gravity

Kaku, M. (2008) · Springer eBooks · doi:10.1007/3-540-09238-2_112

Nongauge local symmetry in gravity

Kamimura, K., & Fukuyama, T. (1985) · General Relativity and Gravitation · doi:10.1007/bf00773683

Gravitational Gauge Fields

Pagels, H. R. (1985) · Springer eBooks · doi:10.1007/978-1-4684-8848-7_18

Hamiltonian analysis of self-dual gauge gravityPreprint

Kerr, S. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1504.03960

A New Viewpoint on de Sitter Gauge Invariance in Gravity

Fré, P. (1980) · Springer eBooks · doi:10.1007/978-1-4684-3602-0_13

Gravitational theories with de Sitter constant vacuum solution

Cognola, G., & Soldati, R. (1981) · General Relativity and Gravitation · doi:10.1007/bf00756070

Gauge formulation of a vector-spinor superalgebra

Pilot, C., & Rajpoot, S. (1995) · International Journal of Theoretical Physics · doi:10.1007/bf00672800

Geometry of the spin-½ particle in N=3 supergravity

Awada, M. A. (1984) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.29.2191

Some D type metric forms for spacetimes with shear, nongeodesic, and nondiverging principal null congruences

Kowalczyński, J. K. (1996) · General Relativity and Gravitation · doi:10.1007/bf02105064

COMMENTS ON THE TETRAD (VIELBEINS)

Fukuyama, T. (2009) · Modern Physics Letters A · doi:10.1142/s0217732309031739

Contribution to the theory of the finite-dimensional representations of the semi-simple graded lie algebras

Bednář, M., & Šachl, V. (1979) · Czechoslovak Journal of Physics · doi:10.1007/bf01596661

De Sitter plane wave and plane wave-like solutions ofSO(4, 1) gauge field equations

Ryu Sasaki, B. (1979) · Czechoslovak Journal of Physics · doi:10.1007/bf01596670

DE VAUCOULEURS–IKEUCHI DIAGRAM AND COMMUTATION RELATIONS AMONG PHASE SPACE COORDINATES

FUKUYAMA, T., & KIKUCHI, T. (2009) · Modern Physics Letters A · doi:10.1142/s0217732309031077

New class of nonlinear realizations of extended graded anti-de-Sitter supersymmetry OSP (N,4), N≥2

Mozrzymas, M. (1990) · Journal of Mathematical Physics · doi:10.1063/1.528864

A formulation of supergravity based on Cartan’s connection

Zardecki, A. (1993) · Journal of Mathematical Physics · doi:10.1063/1.530168

Symmetries of 2-D gravity

Giannakis, I. (1997) · Physics Letters B · doi:10.1016/s0370-2693(97)00317-1

Large numbers hypothesis. IV. The cosmological constant and quantum physics

Adams, P. J. (1983) · International Journal of Theoretical Physics · doi:10.1007/bf02083289

A relation between gravity in (3+1) dimensions and Pontrjagin topological invariant

Medina, M., & Nieto, J. A. (1996) · Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B · doi:10.1007/bf02724562

Symmetry and holonomy in M Theory

Rizo, O. V. (2006) · TDX (Tesis Doctorals en Xarxa)

Axial Current and Noether ChargePreprint

Mahato, P. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1209.5000

Cosmology from a gauge induced gravity

Falciano, F. T., Sadovski, G., Sobreiro, R. F., & Tomaz, A. A. (2017) · General Relativity and Gravitation · doi:10.1007/s10714-017-2282-z

Generalized Chern-Simons action principles for gravityPreprint

Robinson, D. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1506.09090

What is Supergravity and which of its Goals have been Reached?

van Nieuwenhuizen, P. (1980) · Springer eBooks · doi:10.1007/978-1-4613-3171-1_14

Investigating Gravity and Electromagnetism on a 10 Dimensional Manifold with Local Symmetry so(2,3)

Ussher, M. (2013) · Research Commons (University of Waikato)

Topology change in simplicial quantum gravity

Niedner, B. (2011)

Geometrical Formulation of Supergravity Theories

Aguilera, C. (2016) · PORTO@Iris · doi:10.6092/polito/porto/2637626

Gauge theory of massless spin- field in de Sitter space-time

Parsamehr, S., & Mohsenzadeh, M. (2016) · Chinese Physics C · doi:10.1088/1674-1137/40/11/113102

Topological $$\mathrm {SL} (5,\mathbb {R})$$ Gauge-Invariant Action

Mielke, E. W. (2017) · Mathematical physics studies · doi:10.1007/978-3-319-29734-7_13

BRST Quantization of Gravity

Mielke, E. W. (2017) · Mathematical physics studies · doi:10.1007/978-3-319-29734-7_8

Gravitation as a Gauge Theory

Mielke, E. W. (2017) · Mathematical physics studies · doi:10.1007/978-3-319-29734-7_4

Symmetry and holonomy in M TheoryPreprint

Varela, O. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0607088

Unified gauge theory on noncommutative space-time

Zet, G. (2008) · Romanian Journal of Physics

The Gravity Gauge Theory and Gravity Field Equation in Flat Space

Wu, X.-Y., Wu, B.-S., Liu, J., Liu, X.-J., Guo, Y., Pan, Q., Ma, J., Zhang, X., & Liu, H. (2018) · Journal of High Energy Physics Gravitation and Cosmology · doi:10.4236/jhepgc.2018.43034

Hamilton–Jacobi analysis for three dimensional gravity without dynamics

Escalante, A., & Vallejo-Fabila, I. (2019) · Annals of Physics · doi:10.1016/j.aop.2019.03.013

Born–Infeld Gravity from the MacDowell–Mansouri Action and Its Associated $${\varvec{\beta }}$$ β -Term

López, J. L., Obregón, O., & Ortega-Cruz, M. (2019) · Advances in Applied Clifford Algebras · doi:10.1007/s00006-019-0940-9

Two-vierbein gravity action from the gauge theory of the conformal group

Lovreković, I. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.100.084012

(SUPER)-GRAVITIES BEYOND 4 DIMENSIONS

Iglesias, Z., & Antonio, J. F.-L. (2003)

Interactions in MacDowell-Mansouri GravitationPreprint

Langenscheidt, S. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1907.10440 · Cited by 2

The Hamilton–Jacobi characteristic equations for topological invariants: Pontryagin and Euler classes

Escalante, A., & Pantoja, A. (2020) · Annals of Physics · doi:10.1016/j.aop.2020.168265

The BF conformal gravity of MacDowell–Mansouri type

Borowiec, A., & Szczachor, M. (2020) · AIP conference proceedings · doi:10.1063/5.0001042

Optical properties of Einstein–Born–Infeld gravastar models in plasmas

Cirilo-Lombardo, D. J., & Ridao, L. S. (2020) · International Journal of Modern Physics D · doi:10.1142/s0218271820500807

DE VAUCOULEURS IKEUCHI DIAGRAM AND COMMUTATION RELATIONS AMONG PHASE SPACE COORDINATESPreprint

Fukuyama, T., & Kikuchi, T. (2005)

Self-Duality Equations for Gauge Theories

Zet, G., & Manta, V. (2003) · Springer eBooks · doi:10.1007/978-94-017-0405-2_34

Macdowell-Mansouri Supergravity

Berman, D., & García‐Compeán, H. (2004) · Springer eBooks · doi:10.1007/1-4020-4522-0_310

Tetrads and BF-gravity

Shishanin, A. O. (2015) · Physical Interpretation of Relativity Theory Proceedings of International Meeting · doi:10.18698/2309-7604-2015-1-468-472

N=2 resonant superalgebra for supergravity

Durka, R., & Graczyk, K. M. (2022) · Physics Letters B · doi:10.1016/j.physletb.2022.137366

Matrix-Formulated Noncommutative Gauge Theories of Gravity

Manolakos, G., Manousselis, P., Roumelioti, D., Stefas, S., & Zoupanos, G. (2022) · Corfu Summer Institute School and Workshops on Elementary Particle Physics and Gravity (CORFU) · doi:10.22323/1.406.0285

Gauge theoretic approach to (ordinary) gravity and its fuzzy extensions in three and four dimensions

Manolakos, G., Manousselis, P., Roumelioti, D., Stefas, S., & Zoupanos, G. (2022) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/aca7a2

Canonical analysis for Chern–Simons modification of general relativity

Escalante, A., & Pantoja-Gonzalez, J. A. (2023) · Annals of Physics · doi:10.1016/j.aop.2023.169246

A MacDowell–Mansouri-type formulation for conformally flat Einstein manifolds

Rosales-Quintero, J. E. (2023) · International Journal of Modern Physics D · doi:10.1142/s0218271823500542

(Anti) de Sitter Geometry, Complex Conformal Gravity-Maxwell Theory from a Cl(4, C) Gauge Theory of Gravity and Grand Unification

Perelman, C. C. (2023) · Advances in Applied Clifford Algebras · doi:10.1007/s00006-023-01299-3

Superunified theories in superspace

Mansouri, F. (2008) · Springer eBooks · doi:10.1007/3-540-09238-2_35

Superunified theories based on the geometry of local (super-) gauge invariance

Mansouri, F. (1977) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.16.2456 · Cited by 79

An Action in Superspace for SO(N)-Supergravity

MacDowell, S. W. (1984) · Springer eBooks · doi:10.1007/978-1-4899-5313-1_12

Superspace unmasked: The physical interpretation of supergravity theory

Smolin, L. (1981) · Annals of Physics · doi:10.1016/0003-4916(81)90036-1 · Cited by 2

About the importance of supersymmetry and superspace for supergravity

Sia, P. D. (2015) · Cited by 6