The coset spin-4 Casimir operator and its three-point functions with scalars

Journal of High Energy Physics

Volumn 2012, Issue 2, 2012, Pages

  Ahn, Changhyun ^a,b  

^a Kyungpook National University   (South Korea)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

AdS CFT correspondence; Conformal and W symmetry

Indexed keywords

EID: 84857823727     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2012)027     Document Type: Article

References (53)

1. 3 dual for minimal model CFTs, Phys. Rev. D 83 (2011) 066007 [arXiv:1011.2986].
2. P. Goddard, A. Kent and D.I. Olive, Virasoro algebras and coset space models, Phys. Lett. B 152 (1985) 88.
3. P. Goddard, A. Kent and D.I. Olive, Unitary representations of the Virasoro and super-Virasoro algebras, Commun. Math. Phys. 103 (1986) 105.
4. F. Bais, P. Bouwknegt, M. Surridge and K. Schoutens, Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants, Nucl. Phys. B 304 (1988) 348.
5. F. Bais, P. Bouwknegt, M. Surridge and K. Schoutens, Coset construction for extended Virasoro algebras, Nucl. Phys. B 304 (1988) 371.
6. S. Prokushkin and M.A. Vasiliev, Higher spin gauge interactions for massive matter fields in 3D AdS space-time, Nucl. Phys. B 545 (1999) 385 [hep-th/9806236].
7. S. Prokushkin and M.A. Vasiliev, 3D higher spin gauge theories with matter, hep-th/9812242.
8. M.A. Vasiliev, Higher spin gauge theories: star product and AdS space, hep-th/9910096
9. V. Fateev and S.L. Lukyanov, The models of two-dimensional conformal quantum field theory with Z(n) symmetry, Int. J. Mod. Phys. A 3 (1988) 507.
10. P. Bouwknegt and K. Schoutens, W symmetry in conformal field theory, Phys. Rept. 223 (1993) 183 [hep-th/9210010].
11. M.R. Gaberdiel, R. Gopakumar, T. Hartman and S. Raju, Partition functions of holographic minimal models, JHEP 08 (2011) 077 [arXiv:1106.1897].
12. P. Di Francesco, C. Itzykson and J. Zuber, Classical W algebras, Commun. Math. Phys. 140 (1991) 543.
13. V. Drinfeld and V. Sokolov, Lie algebras and equations of Korteweg-de Vries type, J. Sov. Math. 30 (1984) 1975.
14. 3 and its CFT dual, arXiv:1106.2580.
15. G. Watts, Determinant formulae forl extended algebras in two-dimensional conformal field theory, Nucl. Phys. B 326 (1989) 648.
16. M.R. Gaberdiel and T. Hartman, Symmetries of holographic minimal models, JHEP 05 (2011) 031 [arXiv:1101.2910].
17. K. Thielemans, A Mathematica package for computing operator product expansions, Int. J. Mod. Phys. C 2 (1991) 787.
18. A. Campoleoni, Higher spins in D = 2 + 1, arXiv:1110.5841.
19. B. Chen and J. Long, High spin topologically massive gravity, JHEP 12 (2011) 114 [arXiv:1110.5113].
20. S. Giombi et al., Chern-Simons theory with vector fermion matter, arXiv:1110.4386 .
21. 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].
22. S.H. Shenker and X. Yin, Vector models in the singlet sector at finite temperature, arXiv:1109.3519.
23. d, arXiv:1108.5921.
24. K. Papadodimas and S. Raju, Correlation functions in holographic minimal models, Nucl. Phys. B 856 (2012) 607 [arXiv:1108.3077].
25. P. Kraus and E. Perlmutter, Partition functions of higher spin black holes and their CFT duals, JHEP 11 (2011) 061 [arXiv:1108.2567].
26. A. Castro, T. Hartman and A. Maloney, The gravitational exclusion principle and null states in Anti-de Sitter space, Class. Quant. Grav. 28 (2011) 195012 [arXiv:1107.5098].
27. A. Bagchi, S. Lal, A. Saha and B. Sahoo, One loop partition function for topologically massive higher spin gravity, JHEP 12 (2011) 068 [arXiv:1107.2063].
28. A. Bagchi, S. Lal, A. Saha and B. Sahoo, Topologically massive higher spin gravity, JHEP 10 (2011) 150 [arXiv:1107.0915].
29. A. Campoleoni, S. Fredenhagen and S. Pfenninger, Asymptotic W-symmetries in three-dimensional higher-spin gauge theories, JHEP 09 (2011) 113 [arXiv:1107.0290] .
30. B. Chen, J. Long and J.-B. Wu, Spin-3 topological massive gravity, Phys. Lett. B 705 (2011) 513 [arXiv:1106.5141].
31. M. Ammon, M. Gutperle, P. Kraus and E. Perlmutter, Spacetime geometry in higher spin gravity, JHEP 10 (2011) 053 [arXiv:1106.4788].
32. A. Jevicki, K. Jin and Q. Ye, Collective dipole model of AdS/CFT and higher spin gravity, J. Phys. A 44 (2011) 465402 [arXiv:1106.3983].
33. M. Gutperle and P. Kraus, Higher spin black holes, JHEP 05 (2011) 022 [arXiv:1103.4304] .
34. R. Gopakumar, R.K. Gupta and S. Lal, The heat kernel on AdS, JHEP 11 (2011) 010 [arXiv:1103.3627].
35. X. Bekaert, E. Joung and J. Mourad, Effective action in a higher-spin background, JHEP 02 (2011) 048 [arXiv:1012.2103].
36. 3 and a gravitational exclusion principle, JHEP 01 (2011) 142 [arXiv:1012.0598].
37. 5 mixed-symmetry fields, JHEP 03 (2011) 031 [arXiv:1011.6109].
38. M.R. Douglas, L. Mazzucato and S.S. Razamat, Holographic dual of free field theory, Phys. Rev. D 83 (2011) 071701 [arXiv:1011.4926].
39. N-1-Casimir algebras, Modern Physics Letters A 11 (1996) 1139 [arXiv:hep-th/9609120].
40. K. Schoutens, Yangian symmetry in conformal field theory, Physics Letters B 331 (1994) 335 [arXiv:hep-th/9401154].
41. J. De Azcarraga and J. Perez Bueno, Higher order simple Lie algebras, Commun. Math. Phys. 184 (1997) 669 [hep-th/9605213].
42. J. de Azcarraga, A. Macfarlane, A. Mountain and J. Perez Bueno, Invariant tensors for simple groups, Nucl. Phys. B 510 (1998) 657 [physics/9706006].
43. J. Thierry-Mieg, Generalization of the Sugawara construction, lecture given at Cargese School on Nonperturbative Quantum Field Theory, July 16-30, Cargese, France (1987), Cargese Summer Inst. (1987) 567.
44. R. Blumenhagen et al., W algebras with two and three generators, Nucl. Phys. B 361 (1991) 255.
45. H. Kausch and G. Watts, A study of W algebras using Jacobi identities, Nucl. Phys. B 354 (1991) 740.
46. P. Bouwknegt, Extended conformal algebras, Phys. Lett. B 207 (1988) 295.
47. K.J. Hamada and M. Takao, Spin 4 current algebra, Phys. Lett. B 209 (1988) 247 [Erratum ibid. B 213 (1988) 564].
48. D.-H. Zhang, Spin 4 extended conformal algebra, Phys. Lett. B 232 (1989) 323.
49. 3 algebra, Int. J. Mod. Phys. A 6 (1991) 3467.
50. C. Ahn, The large-N 't Hooft limit of coset minimal models, JHEP 10 (2011) 125 [arXiv:1106.0351].
51. M.R. Gaberdiel and C. Vollenweider, Minimal model holography for SO(2N), JHEP 08 (2011) 104 [arXiv:1106.2634].
52. -(1+m), J. Phys. A 27 (1994) 231 [hep-th/9209001].
53. P. Bowcock and G. Watts, On the classification of quantum W algebras, Nucl. Phys. B 379 (1992) 63 [hep-th/9111062].