Abstract
In this paper we simplify and extend previous work on three-point functions in Vasiliev’s higher spin gauge theory in AdS 4. We work in a gauge in which the space-time dependence of Vasiliev’s master fields is gauged away completely, leaving only the internal twistor-like variables. The correlation functions of boundary operators can be easily computed in this gauge. We find complete agreement of the tree level three point functions of higher spin currents in Vasiliev’s theory with the conjectured dual free O(N) vector theory.
Similar content being viewed by others
References
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].
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] [SPIRES].
I.R. Klebanov and A.M. Polyakov, AdS dual of the critical O(N) vector model, Phys. Lett. B 550 (2002) 213 [hep-th/0210114] [SPIRES].
S. Giombi and X. Yin, Higher Spin Gauge Theory and Holography: The Three-Point Functions, JHEP 09 (2010) 115 [arXiv:0912.3462] [SPIRES].
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 [SPIRES].
M.A. Vasiliev, Higher-spin gauge theories in four, three and two dimensions, Int. J. Mod. Phys. D5 (1996) 763 [hep-th/9611024] [SPIRES].
M.A. Vasiliev, Higher spin gauge theories: Star-product and AdS space, hep-th/9910096 [SPIRES].
M.A. Vasiliev, Nonlinear equations for symmetric massless higher spin fields in (A)dS(d), Phys. Lett. B 567 (2003) 139 [hep-th/0304049] [SPIRES].
M.A. Vasiliev, Algebraic aspects of the higher spin problem, Phys. Lett. B 257 (1991) 111 [SPIRES].
K.I. Bolotin and M.A. Vasiliev, Star-product and massless free field dynamics in AdS 4, Phys. Lett. B 479 (2000) 421 [hep-th/0001031] [SPIRES].
X. Bekaert, S. Cnockaert, C. Iazeolla and M.A. Vasiliev, Nonlinear higher spin theories in various dimensions, hep-th/0503128 [SPIRES].
E. Sezgin and P. Sundell, Holography in 4D (super) higher spin theories and a test via cubic scalar couplings, JHEP 07 (2005) 044 [hep-th/0305040] [SPIRES].
E. Sezgin and P. Sundell, An exact solution of 4D higher-spin gauge theory, Nucl. Phys. B 762 (2007) 1 [hep-th/0508158] [SPIRES].
H. Osborn and A.C. Petkou, Implications of Conformal Invariance in Field Theories for General Dimensions, Ann. Phys. 231 (1994) 311 [hep-th/9307010] [SPIRES].
G. Arutyunov and S. Frolov, Three-point Green function of the stress-energy tensor in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 026004 [hep-th/9901121] [SPIRES].
E. Witten, SL(2,Z) action on three-dimensional conformal field theories with Abelian symmetry, hep-th/0307041 [SPIRES].
R.G. Leigh and A.C. Petkou, SL(2,Z) action on three-dimensional CFTs and holography, JHEP 12 (2003) 020 [hep-th/0309177] [SPIRES].
A.C. Petkou, Double-trace deformations and SL(2,Z) action on three-dimensional CFTs, Fortsch. Phys. 52 (2004) 636 [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint:1004.3736
Rights and permissions
About this article
Cite this article
Giombi, S., Yin, X. Higher spins in AdS and twistorial holography. J. High Energ. Phys. 2011, 86 (2011). https://doi.org/10.1007/JHEP04(2011)086
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2011)086