link.springer.com

Higher spins in AdS and twistorial holography - Journal of High Energy Physics

  • ️Yin, Xi
  • ️Mon Apr 18 2011

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.

Access this article

Log in via an institution

Subscribe and save

  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 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].

    Article  MathSciNet  MATH  Google Scholar 

  2. 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].

    MathSciNet  ADS  Google Scholar 

  3. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].

    MathSciNet  MATH  Google Scholar 

  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] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  5. 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].

    MathSciNet  ADS  Google Scholar 

  6. S. Giombi and X. Yin, Higher Spin Gauge Theory and Holography: The Three-Point Functions, JHEP 09 (2010) 115 [arXiv:0912.3462] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  7. 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].

    MathSciNet  ADS  Google Scholar 

  8. M.A. Vasiliev, Higher-spin gauge theories in four, three and two dimensions, Int. J. Mod. Phys. D5 (1996) 763 [hep-th/9611024] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  9. M.A. Vasiliev, Higher spin gauge theories: Star-product and AdS space, hep-th/9910096 [SPIRES].

  10. 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].

    MathSciNet  ADS  Google Scholar 

  11. M.A. Vasiliev, Algebraic aspects of the higher spin problem, Phys. Lett. B 257 (1991) 111 [SPIRES].

    MathSciNet  ADS  Google Scholar 

  12. 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].

    MathSciNet  ADS  Google Scholar 

  13. X. Bekaert, S. Cnockaert, C. Iazeolla and M.A. Vasiliev, Nonlinear higher spin theories in various dimensions, hep-th/0503128 [SPIRES].

  14. 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].

    Article  MathSciNet  ADS  Google Scholar 

  15. E. Sezgin and P. Sundell, An exact solution of 4D higher-spin gauge theory, Nucl. Phys. B 762 (2007) 1 [hep-th/0508158] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  16. 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].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. 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].

    MathSciNet  ADS  Google Scholar 

  18. E. Witten, SL(2,Z) action on three-dimensional conformal field theories with Abelian symmetry, hep-th/0307041 [SPIRES].

  19. 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].

    Article  MathSciNet  ADS  Google Scholar 

  20. A.C. Petkou, Double-trace deformations and SL(2,Z) action on three-dimensional CFTs, Fortsch. Phys. 52 (2004) 636 [SPIRES].

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center for the Fundamental Laws of Nature, Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, U.S.A.

    Simone Giombi & Xi Yin

  2. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.

    Xi Yin

Authors

  1. Simone Giombi

    You can also search for this author inPubMed Google Scholar

  2. Xi Yin

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Simone Giombi.

Additional information

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

Download citation

  • Received: 10 January 2011

  • Accepted: 29 March 2011

  • Published: 18 April 2011

  • DOI: https://doi.org/10.1007/JHEP04(2011)086

Keywords