Cited by 72Noncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsRelativity and Gravitational Theory

Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity

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Bais, F.A., Muller, N.M., Schroers, B.J.·2002·Nuclear Physics B

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Crossref · 10.1016/s0550-3213(02)00572-2

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  • The quantum group structure of these brackets can be expressed in terms of the quantum double of the Lorentz group.

    “several authors have further explored the quantum group structure of these brackets, which can be expressed in terms of the quantum double of the Lorentz group [37, 36, 61, 201].”

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Research works printed but not linked: 16

  1. [1][1] S. Carlip, Quantum gravity in 2+1 dimensions, Cambridge University Press, Cambridge, 1998. -
  2. [4][4] B. J. Schroers, Combinatorial quantisation of Euclidean gravity in three dimensions , pp 307-328 in Quantization of singular symplectic quotients , eds N. P. Landsman, M. Pflaum and M. Schlichenmaier, Progress in Mathematics 198 , Birkh¨ auser 2001; math.qa/0006228 . - · arXiv
  3. [5][5] K. Fredenhagen, Sum rules for spin in (2+1)-dimensional quantum field theory , in Quantum groups , Proceedings Clausthal 1989, eds H. D. Doebner, J. Hennig, Lecture Notes in Physics 370 , Springer 1990. -
  4. [7][7] J. Mund and R. Schrader, Hilbert spaces for nonrelativistic and relativistic 'free' plektons (particles with braid group statistics) , In Advances in dynamical systems and quantum physics , Proceedings, Capri Quantum Physics 1993:0235-259; hep-th/9310054 . - · arXiv
  5. [8][8] V. V. Fock and A. A. Rosly, Poisson structures on moduli of flat connections on Riemann surfaces and r -matrices, ITEP preprint 72-92 (1992); see also math.QA/9802054 . - · arXiv
  6. [11][11] A. Yu. Alekseev and V. Schomerus, Representation theory of Chern-Simons observables, Duke Math. Journal 85 (1996) 447-510. -
  7. [16][16] A. O. Barut and R. Raczka, Theory of group representations and applications , World Scientific, Singapore 1986. -
  8. [18][18] V. Chari and A. Pressley Quantum Groups, Cambridge University Press, Cambridge, 1994. -
  9. [20][20] E. P. Verlinde, A note on braid statistics and the nonabelian Aharonov-Bohm effect , Proceedings of the International Colloquium on Modern Quantum Field Theory, Bombay, World Scientific 1990. -
  10. [21][21] C. Itzykson and J.-B. Zuber, Quantum Field Theory , McGraw Hill, Singapore, 1985. -
  11. [24][24] R. W. Sharpe, Differential Geometry , Springer Verlag, New York, 1996. -
  12. [25][25] M. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces, Phil. Trans. Roy. Soc. London Ser. A 308 (1983) 523-615. -
  13. [26][26] M. Atiyah, The geometry and physics of knots, Cambridge University Press, Cambridge, 1990. -
  14. [39][39] E Buffenoir, K Noui and P Roche, Hamiltonian Quantization of Chern-Simons theory with SL(2,C) Group , hep-th/0202121 . - · arXiv
  15. [41][41] V. S. Varadarajan, Lie groups, Lie algebras and their representations , Springer Verlag, New York, 1984. -
  16. [42][42] N. Muller, Topological interactions and quantum double symmetries, Ph.D. dissertation, University of Amsterdam, 1998.

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Authors
Bais, F. A., Muller, N. M., & Schroers, B. J.
Affiliations
  • Institute for Theoretical Physics Amsterdam (NL)
  • Heriot-Watt University (GB)
Corresponding author
  • Bais, F.A.
  • Muller, N.M.
  • Schroers, B.J.
Venue
Nuclear Physics B
Publisher
Elsevier BV
Published
2002-09
Volume
640
Issue
1-2
Pages
3-45
ISSN
0550-3213 (ISSN-L)
OpenAlex
W2003976794
Cited by
72
References
1
Citations by year
2026: 1 · 2024: 1 · 2023: 3 · 2022: 1 · 2021: 4 · 2019: 1 · 2018: 7 · 2017: 3 · 2016: 2 · 2015: 6 · 2014: 8 · 2013: 3 · 2012: 1
FWCI
2.30
Type
journal article
Language
en
Open access
Locations
  • Nuclear Physics B (publishedVersion)
  • UvA-DARE (University of Amsterdam) (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • Data Archiving and Networked Services (DANS) (submittedVersion)
  • arXiv (Cornell University)
Funders
Engineering and Physical Sciences Research Council
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
Keywords
quantum group symmetry, three-dimensional gravity, Chern-Simons gravity, universal R-matrix, scattering cross section, spin, semiclassical scattering

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