Exploring three-dimensional higher-spin supergravity based on sl(N|N - 1) Chern-Simons theories

Journal of High Energy Physics

Volumn 2012, Issue 11, 2012, Pages

  Tan, Hai Siong ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Chern simons theories; Conformal and W symmetry; Supergravity models

Indexed keywords

EID: 84870364906     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2012)063     Document Type: Article

References (48)

1. M.A. Vasiliev, Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions, Phys. Lett. B 243 (1990) 378 .
2. M. Vasiliev, Nonlinear equations for symmetric massless higher spin fields in (A)dSd, Phys. Lett. B 567 (2003) 139 [hep-th/0304049] .
3. X. Bekaert, S. Cnockaert, C. Iazeolla and M. Vasiliev, Nonlinear higher spin theories in various dimensions, hep-th/0503128 .
4. E. Sezgin and P. Sundell, Massless higher spins and holography, Nucl. Phys. B 644 (2002) 303 [Erratum ibid. B 660 (2003) 403] [hep-th/0205131] .
5. I. Klebanov and A. Polyakov, AdS dual of the critical O(N) vector model, Phys. Lett. B 550 (2002) 213 [hep-th/0210114] .
6. C.-M. Chang, S. Minwalla, T. Sharma and X. Yin, ABJ Triality: from Higher Spin Fields to Strings, arXiv:1207.4485 .
7. D. Anninos, T. Hartman and A. Strominger, Higher Spin Realization of the dS/CFT Correspondence, arXiv:1108.5735 .
8. M. Blencowe, A consistent interacting massless higher spin field theory in D = (2 + 1), Class. Quant. Grav. 6 (1989) 443 .
9. E. Witten, (2+1)-Dimensional Gravity as an Exactly Soluble System, Nucl. Phys. B 311 (1988) 46 .
10. A. Achucarro and P. Townsend, A Chern-Simons Action for Three-Dimensional anti-de Sitter Supergravity Theories, Phys. Lett. B 180 (1986) 89 .
11. S. Deser, R. Jackiw and S. Templeton, Topologically Massive Gauge Theories, Annals Phys. 140 (1982) 372 [Erratum ibid. 185 (1988) 406] .
12. S. Deser and J. Kay, Topologically massive supergravity, Phys. Lett. B 120 (1983) 97 .
13. B. Chen and J. Long, High Spin Topologically Massive Gravity, JHEP 12 (2011) 114 [arXiv:1110.5113] .
14. A. Bagchi, S. Lal, A. Saha and B. Sahoo, Topologically Massive Higher Spin Gravity, JHEP 10 (2011) 150 [arXiv:1107.0915] .
15. J.D. Brown and M. Henneaux, Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity, Commun. Math. Phys. 104 (1986) 207 .
16. M.R. Gaberdiel and R. Gopakumar, An AdS3 Dual for Minimal Model CFTs, Phys. Rev. D 83 (2011) 066007 [arXiv:1011.2986] .
17. M.R. Gaberdiel and R. Gopakumar, Triality in Minimal Model Holography, JHEP 07 (2012) 127 [arXiv:1205.2472] .
18. M.R. Gaberdiel and T. Hartman, Symmetries of Holographic Minimal Models, JHEP 05 (2011) 031 [arXiv:1101.2910] .
19. M.R. Gaberdiel, R. Gopakumar, T. Hartman and S. Raju, Partition Functions of Holographic Minimal Models, JHEP 08 (2011) 077 [arXiv:1106.1897] .
20. A. Castro, R. Gopakumar, M. Gutperle and J. Raeymaekers, Conical Defects in Higher Spin Theories, JHEP 02 (2012) 096 [arXiv:1111.3381] .
21. T. Creutzig, Y. Hikida and P.B. Ronne, Higher spin AdS3 supergravity and its dual CFT, JHEP 02 (2012) 109 [arXiv:1111.2139] .
22. C. Candu and M.R. Gaberdiel, Supersymmetric holography on AdS3, arXiv:1203.1939 .
23. M. Henneaux, G. Lucena Gomez, J. Park and S.-J. Rey, Super-W1 Asymptotic Symmetry of Higher-Spin AdS3 Supergravity, JHEP 06 (2012) 037 [arXiv:1203.5152] .
24. K. Hanaki and C. Peng, Symmetries of Holographic Super-Minimal Models, arXiv:1203.5768 .
25. M. Gutperle and P. Kraus, Higher Spin Black Holes, JHEP 05 (2011) 022 [arXiv:1103.4304] .
26. M. Ammon, M. Gutperle, P. Kraus and E. Perlmutter, Spacetime Geometry in Higher Spin Gravity, JHEP 10 (2011) 053 [arXiv:1106.4788] .
27. A. Castro, E. Hijano, A. Lepage-Jutier and A. Maloney, Black Holes and Singularity Resolution in Higher Spin Gravity, JHEP 01 (2012) 031 [arXiv:1110.4117] .
28. H.-S. Tan, Aspects of Three-dimensional Spin-4 Gravity, JHEP 02 (2012) 035 [arXiv:1111.2834] .
29. M. Henneaux and S.-J. Rey, Nonlinear W1 as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity, JHEP 12 (2010) 007 [arXiv:1008.4579] .
30. L. Romans, The N = 2 super-W3 algebra, Nucl. Phys. B 369 (1992) 403 .
31. H. Lü, C. Pope, L. Romans, X. Shen and X. Wang, Polyakov construction of the N = 2 super-W3 algebra, Phys. Lett. B 264 (1991) 91 .
32. M. Henneaux, L. Maoz and A. Schwimmer, Asymptotic dynamics and asymptotic symmetries of three-dimensional extended AdS supergravity, Annals Phys. 282 (2000) 31 [hep-th/9910013] .
33. O. Coussaert, M. Henneaux and P. van Driel, The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant, Class. Quant. Grav. 12 (1995) 2961 [gr-qc/9506019] .
34. M. Bañados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849 [hep-th/9204099] .
35. E. Fradkin and V.Y. Linetsky, Supersymmetric Racah basis, family of infinite dimensional superalgebras, SU(∞+ 1|∞) and related 2D models, Mod. Phys. Lett. A 6 (1991) 617 .
36. A. Castro, E. Hijano and A. Lepage-Jutier, Unitarity Bounds in AdS3 Higher Spin Gravity, JHEP 06 (2012) 001 [arXiv:1202.4467] .
37. A. Campoleoni, S. Fredenhagen, S. Pfenninger and S. Theisen, Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields, JHEP 11 (2010) 007 [arXiv:1008.4744] .
38. A. Campoleoni, S. Fredenhagen and S. Pfenninger, Asymptotic W-symmetries in three-dimensional higher-spin gauge theories, JHEP 09 (2011) 113 [arXiv:1107.0290] .
39. A. Schwimmer and N. Seiberg, Comments on the N = 2, N = 3, N = 4 Superconformal Algebras in Two-Dimensions, Phys. Lett. B 184 (1987) 191 .
40. J. Izquierdo and P. Townsend, Supersymmetric space-times in (2+1) AdS supergravity models, Class. Quant. Grav. 12 (1995) 895 [gr-qc/9501018] .
41. O. Coussaert and M. Henneaux, Supersymmetry of the (2+1) black holes, Phys. Rev. Lett. 72 (1994) 183 [hep-th/9310194] .
42. J.R. David, G. Mandal, S. Vaidya and S.R. Wadia, Point mass geometries, spectral flow and AdS3- CFT2 correspondence, Nucl. Phys. B 564 (2000) 128 [hep-th/9906112] .
43. J.M. Maldacena and L. Maoz, Desingularization by rotation, JHEP 12 (2002) 055 [hep-th/0012025] .
44. V. Balasubramanian, J. de Boer, E. Keski-Vakkuri and S.F. Ross, Supersymmetric conical defects: Towards a string theoretic description of black hole formation, Phys. Rev. D 64 (2001) 064011 [hep-th/0011217] .
45. M.R. Gaberdiel, T. Hartman and K. Jin, Higher Spin Black Holes from CFT, JHEP 04 (2012) 103 [arXiv:1203.0015] .
46. P. Kraus and E. Perlmutter, Partition functions of higher spin black holes and their CFT duals, JHEP 11 (2011) 061 [arXiv:1108.2567] .
47. M. Bañados, R. Canto and S. Theisen, The action for higher spin black holes in three dimensions, JHEP 07 (2012) 147 [arXiv:1204.5105] .
48. A. Perez, D. Tempo and R. Troncoso, Higher spin gravity in 3D: black holes, global charges and thermodynamics, arXiv:1207.2844 .