The higher spin/vector model duality

Journal of Physics A: Mathematical and Theoretical

Volumn 46, Issue 21, 2013, Pages

  Giombi, Simone ^a   Yin, Xi ^b  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84878152515     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/46/21/214003     Document Type: Review

References (68)

1. Klebanov I and Polyakov A 2002 AdS dual of the critical O(N) vector model Phys. Lett. B 550 213-9 (arXiv:hep-th/0210114)
2. Sezgin E and Sundell P 2005 Holography in 4D (super) higher spin theories and a test via cubic scalar couplings J. High Energy Phys. JHEP(2005)044 (arXiv:hep-th/0305040)
3. Sundborg B 2000 The Hagedorn transition, deconfinement and N = 4 SYM theory Nucl. Phys. B 573 349-63 (arXiv:hep-th/9908001)
4. Haggi-Mani P and Sundborg B 2000 Free large N supersymmetric Yang-Mills theory as a string theory J. High Energy Phys. JHEP04(2000)031 (arXiv:hep-th/0002189)
5. Konstein S, Vasiliev M and Zaikin V 2000 Conformal higher spin currents in any dimension and AdS/CFT correspondence J. High Energy Phys. JHEP12(2000)018 (arXiv:hep-th/0010239)
6. Shaynkman O and Vasiliev M 2001 Higher spin conformal symmetry for matter fields in (2+1)-dimensions Theor. Math. Phys. 28 1155-68 (arXiv:hep-th/0103208)
7. Sezgin E and Sundell P 2001 Doubletons and 5-D higher spin gauge theory J. High Energy Phys. JHEP09(2001)036 (arXiv:hep-th/0105001)
8. Vasiliev M 2002 Conformal higher spin symmetries of 4-d massless supermultiplets and osp(L,2M) invariant equations in generalized (super)space Phys. Rev. D 66 066006 (arXiv:hep-th/0106149) (Pubitemid 44947661)
9. Mikhailov A 2002 Notes on higher spin symmetries arXiv:hep-th/0201019
10. Sezgin E and Sundell P 2002 Massless higher spins and holography Nucl. Phys. B 644 303-70 (arXiv:hep-th/0205131)
11. Giombi S et al 2011 Chern-Simons theory with vector fermion matter arXiv:1110.4386
12. Giombi S and Yin X 2010 Higher spin gauge theory and holography: the three-point functions J. High Energy Phys. JHEP09(2010)115 (arXiv:0912.3462)
13. Giombi S and Yin X 2011 Higher spins in AdS and twistorial holography J. High Energy Phys. JHEP04(2011)086 (arXiv:1004.3736)
14. Chang C-M, Minwalla S, Sharma T and Yin X 2013 ABJ triality: from higher spin fields to strings J. Phys. A: Math. Theor. 46 214009 (arXiv:1207.4485)
15. Giombi S, Prakash S and Yin X 2011 A note on CFT correlators in three dimensions arXiv:1104.4317
16. Costa M S, Penedones J, Poland D and Rychkov S 2011 Spinning conformal correlators J. High Energy Phys. JHEP11(2011)071 (arXiv:1107.3554)
17. Zhiboedov A 2012 A note on three-point functions of conserved currents arXiv:1206.6370
18. Maldacena J and Zhiboedov A 2013 Constraining conformal field theories with a higher spin symmetry J. Phys. A: Math. Theor. 46 214011 (arXiv:1112.1016)
19. Maldacena J and Zhiboedov A 2012 Constraining conformal field theories with a slightly broken higher spin symmetry arXiv:1204.3882
20. Aharony O, Gur-Ari G and Yacoby R 2012 Correlation functions of large N Chern-Simons-matter theories and bosonization in three dimensions arXiv:1207.4593
21. Jain S, Trivedi S P, Wadia S R and Yokoyama S 2012 Supersymmetric Chern-Simons theories with vector matter arXiv:1207.4750
22. Douglas M R, Mazzucato L and Razamat S S 2011 Holographic dual of free field theory Phys. Rev. D 83 071701 (arXiv:1011.4926)
23. 3 Construction from collective fields Phys. Rev. D 83 025006 (arXiv:1008.0633)
24. Jevicki A, Jin K and Ye Q 2011 Collective dipole model of AdS/CFT and higher spin gravity J. Phys. A: Math. Theor. 44 465402 (arXiv:1106.3983)
25. Jevicki A, Jin K and Ye Q 2011 Bi-local model of AdS/CFT and higher spin gravity arXiv:1112.2656
26. de Mello Koch R, Jevicki A, Jin K, Rodrigues J P and Ye Q 2012 S=1 in O(N)/HS duality arXiv:1205.4117
27. Das S R and Jevicki A 2003 Large N collective fields and holography Phys. Rev. D 68 044011 (arXiv:hep-th/0304093) (Pubitemid 44628141)
28. Anninos D, Hartman T and Strominger A 2011 Higher spin realization of the dS/CFT correspondence arXiv:1108.5735
29. Ng G S and Strominger A 2012 State/operator correspondence in higher-spin dS/CFT arXiv:1204.1057
30. Das D, Das S R, Jevicki A and Ye Q 2012 Bi-local construction of Sp(2N)/dS higher spin correspondence arXiv:1205.5776
31. Gaberdiel M R and Gopakumar R 2013 Minimal model holography J. Phys. A: Math. Theor. 46 214002 (arXiv:1207.6697)
32. Didenko V and Skvortsov E 2013 Towards higher-spin holography in ambient space of any dimension J. Phys. A: Math. Theor. 46 214010 (arXiv:1207.6786)
33. Vasiliev M A 1990 Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions Phys. Lett. B 243 378-82
34. Vasiliev M A 1992 More on equations of motion for interacting massless fields of all spins in (3+1)-dimensions Phys. Lett. B 285 225-34
35. Vasiliev M 2003 Nonlinear equations for symmetric massless higher spin fields in (A)dS(d) Phys. Lett. B 567 139-51 (arXiv:hep-th/0304049)
36. Fronsdal C 1978 Massless fields with integer spin Phys. Rev. D 18 3624
37. Vasiliev M A 1996 Higher spin gauge theories in four-dimensions, three-dimensions, and two-dimensions Int. J. Mod. Phys. D 5 763-97 (arXiv:hep-th/9611024)
38. Vasiliev M A 1999 Higher spin gauge theories: star product and AdS space arXiv:hep-th/9910096
39. Bekaert X, Cnockaert S, Iazeolla C and Vasiliev M 2005 Nonlinear higher spin theories in various dimensions arXiv:hep-th/0503128
40. Iazeolla C 2008 On the algebraic structure of higher-spin field equations and new exact solutions arXiv:0807.0406
41. Sezgin E and Sundell P 2002 Analysis of higher spin field equations in four-dimensions J. High Energy Phys. JHEP07(2002)055 (arXiv:hep-th/0205132)
42. Konstein S and Vasiliev M A 1990 Extended higher spin superalgebras and their massless representations Nucl. Phys. B 331 475-99
43. Vasiliev M A 1991 Algebraic aspects of the higher spin problem Phys. Lett. B 257 111-8
44. Vasiliev M A 1991 Properties of equations of motion of interacting gauge fields of all spins in (3+1)-dimensions Class. Quantum Grav. 8 1387-417
45. Vasiliev M A 1988 Extended higher spin superalgebras and their realizations in terms of quantum operators Fortschr. Phys. 36 33-62
46. Engquist J, Sezgin E and Sundell P 2002 On N = 1, N = 2, N = 4 higher spin gauge theories in four-dimensions Class. Quantum Grav. 9 6175-96 (arXiv:hep-th/0207101) (Pubitemid 37026821)
47. Hartman T and Rastelli L 2008 Double-trace deformations, mixed boundary conditions and functional determinants in AdS/CFT J. High Energy Phys. JHEP01(2008)019 (arXiv:hep-th/0602106)
48. Giombi S and Yin X 2011 On Higher spin gauge theory and the critical O(N) model arXiv:1105.4011
49. Girardello L, Porrati M and Zaffaroni A 2003 3-D interacting CFTs and generalized Higgs phenomenon in higher spin theories on AdS Phys. Lett. B 561 289-93 (arXiv:hep-th/0212181)
50. Gaiotto D and Yin X 2007 Notes on superconformal Chern-Simons-matter theories J. High Energy Phys. JHEP08(2007)056 (arXiv:0704.3740)
51. Aharony O, Gur-Ari G and Yacoby R 2012 d = 3 Bosonic vector models coupled to Chern-Simons gauge theories J. High Energy Phys. JHEP03(2012)037 (arXiv:1110.4382)
52. Witten E 1998 Anti-de Sitter space and holography Adv. Theor. Math. Phys. 2 253-91 (arXiv:hep-th/9802150)
53. Bolotin K and Vasiliev M A 2000 Star product and massless free field dynamics in AdS(4) Phys. Lett. B 479 421-8 (arXiv:hep-th/0001031)
54. Sezgin E and Sundell P 2007 An exact solution of 4-d higher-spin gauge theory Nucl. Phys. B 762 1-37 (arXiv:hep-th/0508158) (Pubitemid 44890749)
55. Iazeolla C, Sezgin E and Sundell P 2008 Real forms of complex higher spin field equations and new exact solutions Nucl. Phys. B 791 231-64 (arXiv:0706.2983)
56. Iazeolla C and Sundell P 2011 Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry J. High Energy Phys. JHEP12(2011)084 (arXiv:1107.1217)
57. Doroud N and Smolin L 2011 An action for higher spin gauge theory in four dimensions arXiv:1102.3297
58. Boulanger N and Sundell P 2011 An action principle for Vasiliev's four-dimensional higher-spin gravity J. Phys. A: Math. Theor. A 44 495402 (arXiv:1102.2219)
59. Boulanger N, Colombo N and Sundell P 2012 A minimal BV action for Vasiliev's four-dimensional higher spin gravity arXiv:1205.3339
60. Vasiliev M A 1989 Consistent equations for interacting massless fields of all spins in the first order in curvatures Ann. Phys. 190 59-106
61. Banerjee S, Hellerman S, Maltz J and Shenker S H 2012 Light states in Chern-Simons theory coupled to fundamental matter arXiv:1207.4195
62. 5 sigma model J. High Energy Phys. JHEP08(2007)011 (arXiv:hep-th/0703282)
63. 5 sigma model J. High Energy Phys. JHEP09(2008)088 (arXiv:0806.1960)
64. 5 pure spinor formalism J. High Energy Phys. JHEP09(2009)051 (arXiv:0812.5074)
65. Mazzucato L 2011 Superstrings in AdS arXiv:1104.2604
66. Didenko V and Vasiliev M 2009 Static BPS black hole in 4D higher-spin gauge theory Phys. Lett. B 682 305-15 (arXiv:0906.3898)
67. Shenker S H and Yin X 2011 Vector models in the singlet sector at finite temperature arXiv:1109.3519
68. Klebanov I R, Pufu S S and Safdi B R 2011 F-theorem without supersymmetry J. High Energy Phys. JHEP10(2011)038 (arXiv:1105.4598)