Higher spin gauge theory and holography: The three-point functions

Journal of High Energy Physics

Volumn 2010, Issue 9, 2010, Pages

  Giombi, Simone ^a   Yin, Xi ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

1 N expansion; AdS CFT correspondence; Models of quantum gravity

Indexed keywords

EID: 78649689030     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP09(2010)115     Document Type: Article

References (56)

1. J. M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
2. [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200].
3. 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]
4. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150]
5. O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111].
6. B. Sundborg, Stringy gravity, interacting tensionless strings and massless higher spins, Nucl. Phys. (Proc. Suppl.) 102 (2001) 113 [hep-th/0103247].
7. P. Haggi-Mani and B. Sundborg, Free large-N supersymmetric Yang-Mills theory as a string theory, JHEP 04 (2000) 031 [hep-th/0002189].
8. O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas and M. Van Raamsdonk, The Hagedorn/deconfinement phase transition in weakly coupled large-N gauge theories, Adv. Theor. Math. Phys. 8 (2004) 603 [hep-th/0310285].
9. N. Beisert, M. Bianchi, J. F. Morales and H. Samtleben, On the spectrum of AdS/CFT beyond supergravity, JHEP 02 (2004) 001 [hep-th/0310292].
10. N. Beisert, M. Bianchi, J. F. Morales and H. Samtleben, Higher spin symmetry and N = 4 SYM, JHEP 07 (2004) 058 [hep-th/0405057].
11. R. Gopakumar, From free fields to AdS, Phys. Rev. D 70 (2004) 025009 [hep-th/0308184].
12. R. Gopakumar, From free fields to AdS. II, Phys. Rev. D 70 (2004) 025010 [hep-th/0402063]
13. R. Gopakumar, From free fields to AdS. III, Phys. Rev. D 72 (2005) 066008 [hep-th/0504229].
14. J. R. David and R. Gopakumar, From spacetime to worldsheet: four point correlators, JHEP 01 (2007) 063 [hep-th/0606078].
15. 5 σ-model, JHEP 09 (2008) 088 [arXiv:0806.1960].
16. 5 pure spinor formalism, JHEP 09 (2009) 051 [arXiv:0812.5074].
17. J. Isberg, U. Lindström and B. Sundborg, Space-time symmetries of quantized tensionless strings, Phys. Lett. B 293 (1992) 321 [hep-th/9207005].
18. J. Isberg, U. Lindström, B. Sundborg and G. Theodoridis, Classical and quantized tensionless strings, Nucl. Phys. B 411 (1994) 122 [hep-th/9307108].
19. U. Lindström and M. Zabzine, Tensionless strings, WZW models at critical level and massless higher spin fields, Phys. Lett. B 584 (2004) 178 [hep-th/0305098].
20. G. Bonelli, On the covariant quantization of tensionless bosonic strings in AdS spacetime, JHEP 11 (2003) 028 [hep-th/0309222].
21. I. Bakas and C. Sourdis, On the tensionless limit of gauged WZW models, JHEP 06 (2004) 049 [hep-th/0403165].
22. A. Sagnotti and M. Tsulaia, On higher spins and the tensionless limit of string theory, Nucl. Phys. B 682 (2004) 83 [hep-th/0311257].
23. 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].
24. S. E. Konstein, M. A. Vasiliev and V. N. Zaikin, Conformal higher spin currents in any dimension and AdS/CFT correspondence, JHEP 12 (2000) 018 [hep-th/0010239].
25. O. V. Shaynkman and M. A. Vasiliev, Higher spin conformal symmetry for matter fields in 2 + 1 dimensions, Theor. Math. Phys. 128 (2001) 1155
26. [Teor. Mat. Fiz. 128 (2001) 378] [hep-th/0103208].
27. E. Sezgin and P. Sundell, Doubletons and 5D higher spin gauge theory, JHEP 09 (2001) 036 [hep-th/0105001].
28. M. A. Vasiliev, Conformal higher spin symmetries of 4D massless supermultiplets and osp (L, 2M) invariant equations in generalized (super) space, Phys. Rev. D 66 (2002) 066006 [hep-th/0106149].
29. A. Mikhailov, Notes on higher spin symmetries, hep-th/0201019.
30. E. Sezgin and P. Sundell, Massless higher spins and holography, Nucl. Phys. B 644 (2002) 303
31. [Erratum ibid. B 660 (2003) 403] [hep-th/0205131].
32. I. R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104].
33. S. S. Gubser and I. R. Klebanov, A universal result on central charges in the presence of double-trace deformations, Nucl. Phys. B 656 (2003) 23 [hep-th/0212138]
34. M. A. Vasiliev, Higher-spin gauge theories in four, three and two dimensions, Int. J. Mod. Phys. D 5 (1996) 763 [hep-th/9611024]
35. M. A. Vasiliev, Higher spin gauge theories: star-product and AdS space, hep-th/9910096.
36. M. A. Vasiliev, Nonlinear equations for symmetric massless higher spin fields in (A) dSd, Phys. Lett. B 567 (2003) 139 [hep-th/0304049].
37. X. Bekaert, S. Cnockaert, C. Iazeolla and M. A. Vasiliev, Nonlinear higher spin theories in various dimensions, hep-th/0503128.
38. E. Sezgin and P. Sundell, Analysis of higher spin field equations in four dimensions, JHEP 07 (2002) 055 [hep-th/0205132].
39. H. Osborn and A. C. Petkou, Implications of conformal invariance in field theories for general dimensions, Annals Phys. 231 (1994) 311 [hep-th/9307010].
40. A. C. Petkou, Evaluating the AdS dual of the critical O (N) vector model, JHEP 03 (2003) 049 [hep-th/0302063].
41. 4, JHEP 06 (2003) 011 [hep-th/0304217].
42. 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].
43. A. Fotopoulos and M. Tsulaia, Gauge invariant Lagrangians for free and interacting higher spin fields. A review of the BRST formulation, Int. J. Mod. Phys. A 24 (2009) 1 [arXiv: 0805.1346].
44. E. D'Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli, Extremal correlators in the AdS/CFT correspondence, hep-th/9908160.
45. D. E. Diaz and H. Dorn, On the AdS higher spin/O (N) vector model correspondence: degeneracy of the holographic image, JHEP 07 (2006) 022 [hep-th/0603084].
46. L. Girardello, M. Porrati and A. Zaffaroni, 3D interacting CFTs and generalized Higgs phenomenon in higher spin theories on AdS, Phys. Lett. B 561 (2003) 289 [hep-th/0212181].
47. S. S. Gubser and I. Mitra, Double-trace operators and one-loop vacuum energy in AdS/CFT, Phys. Rev. D 67 (2003) 064018 [hep-th/0210093].
48. E. Witten, Noncommutative geometry and string field theory, Nucl. Phys. B 268 (1986) 253.
49. K. Lang and W. Rühl, Anomalous dimensions of tensor fields of arbitrary rank for critical nonlinear O (N) σ-models at 2 > d > 4 to first order in 1/N, Z. Phys. C 51 (1991) 127.
50. K. Lang and W. Rühl, Field algebra for critical O (N) vector nonlinear σ-models at 2 > d > 4, Z. Phys. C 50 (1991) 285.
51. 2: operator product expansions and renormalization, Nucl. Phys. B 377 (1992) 371.
52. K. Lang and W. Rühl, The scalar ancestor of the energy momentum field in critical σ-models at 2 > d > 4, Phys. Lett. B 275 (1992) 93.
53. K. Lang and W. Rühl, The critical O (N) σ-model at dimensions 2 > d > 4: fusion coefficients and anomalous dimensions, Nucl. Phys. B 400 (1993) 597.
54. D. I. Kazakov, Calculation of Feynman integrals by the method of 'uniqueness', Theor. Math. Phys. 58 (1984) 223
55. [Teor. Mat. Fiz. 58 (1984) 343].
56. D. Gaiotto and X. Yin, Notes on superconformal Chern-Simons-matter theories, JHEP 08 (2007) 056 [arXiv:0704.3740].