Nonlinear W∞ as asymptotic symmetry of three-dimensional higher spin AdS gravity

Journal of High Energy Physics

Volumn 2010, Issue 12, 2010, Pages

  Henneaux, Marc ^a,b   Rey, Soo Jong ^c,d  

^a INTERNATIONAL SOLVAY INSTITUTES   (Belgium)

^b CENTRO DE ESTUDIOS CIENTÍFICOS CECS   (Chile)

^c INSTITUTE FOR ADVANCED STUDY   (United States)

^d Seoul National University   (South Korea)

Author keywords

AdS CFT correspondence; Chern simons theories; Classical theories of gravity; Conformal and W symmetry

Indexed keywords

EID: 78650244641     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP12(2010)007     Document Type: Article

References (54)

1. E.S. Fradkin and M.A. Vasiliev, Cubic Interaction in Extended Theories of Massless Higher Spin Fields, Nucl. Phys. B 291 (1987) 141.
2. E.S. Fradkin and M.A. Vasiliev, On the Gravitational Interaction of Massless Higher Spin Fields, Phys. Lett. B 189 (1987) 89.
3. M.A. Vasiliev, More on equations of motion for interacting massless fields of all spins in (3+1)-dimensions, Phys. Lett. B 285 (1992) 225.
4. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113
5. [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200].
6. E. Witten, Spacetime Reconstruction, talk presented at JHS 60th Birthday Conference, California Institute of Technology, November 2-3, 2001 [http://quark.caltech.edu/jhs60/witten/1.html].
7. 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.
8. A. Achucarro and P.K. Townsend, A Chern-Simons Action for Three-Dimensional anti-de Sitter Supergravity Theories, Phys. Lett. B 180 (1986) 89.
9. M. Bañados, K. Bautier, O. Coussaert, M. Henneaux and M. Ortiz, Anti-de Sitter/CFT correspondence in three-dimensional supergravity, Phys. Rev. D 58 (1998) 085020 [hep-th/9805165].
10. 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].
11. V.G. Knizhnik, Superconformal Algebras in Two Dimensions, Theor. Math. Phys. 66 (1986) 68
12. [Teor. Mat. Fiz. 66 (1986) 102].
13. M.A. Bershadsky, Superconformal Algebras in Two Dimensions with Arbitrary N, Phys. Lett. B 174 (1986) 285.
14. E.S. Fradkin and V.Y. Linetsky, An Exceptional N = 8 superconformal algebra in two-dimensions associated with F(4), Phys. Lett. B 275 (1992) 345.
15. E.S. Fradkin and V.Y. Linetsky, Results of the classification of superconformal algebras in two-dimensions, Phys. Lett. B 282 (1992) 352 [hep-th/9203045].
16. E.S. Fradkin and V.Y. Linetsky, Classification of superconformal and quasisuperconformal algebras in two-dimensions, Phys. Lett. B 291 (1992) 71.
17. P. Bowcock, Exceptional superconformal algebras, Nucl. Phys. B 381 (1992) 415 [hep-th/9202061].
18. M.P. Blencowe, A Consistent Interacting Massless Higher Spin Field Theory in D = (2+1), Class. Quant. Grav. 6 (1989) 443.
19. E. Bergshoeff, M.P. Blencowe and K.S. Stelle, Area Preserving Diffeomorphisms And Higher Spin Algebra, Commun. Math. Phys. 128 (1990) 213.
20. E. Witten, (2+1)-Dimensional Gravity as an Exactly Soluble System, Nucl. Phys. B 311 (1988) 46.
21. A.B. Zamolodchikov, Infinite Additional Symmetries in Two-Dimensional Conformal Quantum Field Theory, Theor. Math. Phys. 65 (1985) 1205
22. [Teor. Mat. Fiz. 65 (1985) 347].
23. ∞ algebra and second Hamiltonian structure of KP hierarchy, Nucl. Phys. B 373 (1992) 713.
24. ∞ current algebra in the SL(2,R)/U(1) coset model, Phys. Rev. Lett. 68 (1992) 2996 [Erratum ibid. 69 (1992) 554] [hep-th/9112009].
25. ∞ as symmetry of the SL(2,R)/U(1) coset model, Int. J. Mod. Phys. A 7S1A (1992) 55
26. [Int. J. Mod. Phys. A 7 (1992) 55] [hep-th/9109029].
27. M. Henneaux and S.-J. Rey, to appear.
28. M. Henneaux, G. Lucena Gomez, J.-S. Park and S.-J. Rey, to appear.
29. E.S. Fradkin and M.A. Vasiliev, Candidate to the Role of Higher Spin Symmetry, Ann. Phys. 177 (1987) 63.
30. 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].
31. T. Regge and C. Teitelboim, Role of Surface Integrals in the Hamiltonian Formulation of General Relativity, Ann. Phys. 88 (1974) 286.
32. P. Mathieu, Extended Classical Conformal Algebras and the Second Hamiltonian Structure of Lax Equations, Phys. Lett. B 208 (1988) 101.
33. I. Bakas, Hamiltonian Reduction and Conformal Symmetries in Two-Dimensions, Phys. Lett. B 219 (1989) 283.
34. I. Bakas, The Large-N Limit of Extended Conformal Symmetries, Phys. Lett. B 228 (1989) 57.
35. ∞ algebra, Prog. Theor. Phys. Suppl. 102 (1990) 15.
36. ∞, Phys. Lett. B 236 (1990) 173.
37. ∞, Phys. Lett. B 245 (1990) 72.
38. ∞ algebras, Phys. Lett. B 263 (1991) 220.
39. L.A. Dickey, On Hamiltonian and Lagrangian formalisms for the KP-hierarchy of integrable equations, Ann. New York Acad. Sci. 491 (1987) 131.
40. I.M. Gelfand and L.A. Dikii, Asymptotic behavior of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-De Vries equations, Russ. Math. Surveys 30 (1975) 77
41. [Usp. Mat. Nauk 30 (1975) 67].
42. E. Witten, Three-Dimensional Gravity Revisited [arXiv:0706.3359].
43. ∞ algebra and trace anomalies, JHEP 05 (2008) 071 [arXiv:0804.0198].
44. ∞ Algebra and Anomalies, JHEP 12 (2008) 021 [arXiv:0808.2360].
45. A. Sagnotti and M. Tsulaia, On higher spins and the tensionless limit of string theory, Nucl. Phys. B 682 (2004) 83 [hep-th/0311257].
46. A. Sagnotti and M. Taronna, String Lessons for Higher-Spin Interactions, Nucl. Phys. B 842 (2011) 299 [arXiv:1006.5242].
47. A. Sen, How does a fundamental string stretch its horizon?, JHEP 05 (2005) 059 [hep-th/0411255].
48. 3, JHEP 01 (1999) 001 [hep-th/9812062].
49. A. Dabholkar and S. Murthy, Fundamental Superstrings as Holograms, JHEP 02 (2008) 034 [arXiv:0707.3818].
50. J.M. Lapan, A. Simons and A. Strominger, Nearing the Horizon of a Heterotic String [arXiv:0708.0016].
51. P. Kraus, F. Larsen and A. Shah, Fundamental Strings, Holography and Nonlinear Superconformal Algebras, JHEP 11 (2007) 028 [arXiv:0708.1001].
52. K. Takasaki, A New Approach to the Selfdual Yang-Mills Equations, Commun. Math. Phys. 94 (1984) 35.
53. Q.-H. Park, Selfdual Gravity as a Large-N Limit of the Two-Dimensional Nonlinear σ-model, Phys. Lett. B 238 (1990) 287.
54. ∞+1, KP and loop representation of four-dimensional gravity, Phys. Lett. B 324 (1994) 293.