Higher spin gauge fields interacting with scalars: The Lagrangian cubic vertex

Journal of High Energy Physics

Volumn 2007, Issue 10, 2007, Pages

  Fotopoulos, Angelos ^a   Irges, Nikos ^b   Petkou, Anastasios C ^b   Tsulaia, Mirian ^b  

^a UNIVERSITY OF TURIN   (Italy)

^b UNIVERSITY OF CRETE   (Greece)

Author keywords

BRST symmetry; Conformal and W symmetry; Conformal field models in string theory; Space time symmetries

Indexed keywords

EID: 35748949870     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/10/021     Document Type: Article

References (95)

1. M.A. Vasiliev, Higher spin gauge theories in various dimensions 2004 Fortschr. Phys. 52 702 [hep-th/0401177]
2. X. Bekaert, S. Cnockaert, C. Iazeolla and M.A. Vasiliev, Nonlinear higher spin theories in various dimensions [hep-th/0503128]
3. D. Sorokin, Introduction to the classical theory of higher spins 2005 AIP Conf. Proc. 767 172 [hep-th/0405069]
4. N. Bouatta, G. Compere and A. Sagnotti, An introduction to free higher-spin fields [hep-th/0409068]
5. E.S. Fradkin and M.A. Vasiliev, Cubic interaction in extended theories of massless higher spin fields 1987 Nucl. Phys. B 291 141
6. E.S. Fradkin and M.A. Vasiliev, Candidate to the role of higher spin symmetry 1987 Ann. Phys. (NY) 177 63
7. M.A. Vasiliev, Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions 1990 Phys. Lett. B 243 378
8. M.A. Vasiliev, More on equations of motion for interacting massless fields of all spins in (3+1)-dimensions 1992 Phys. Lett. B 285 225
9. M.A. Vasiliev, Nonlinear equations for symmetric massless higher spin fields in (A)dS(d) 2003 Phys. Lett. B 567 139 [hep-th/0304049]
10. M.A. Vasiliev, On conformal, SL(4,) and Sp(8,r) symmetries of 4d massless fields, [0707.1085]
11. M.A. Vasiliev, Higher spin superalgebras in any dimension and their representations 2004 J. High Energy Phys. JHEP12(2004)046 [hep-th/0404124]
12. E.D. Skvortsov and M.A. Vasiliev, Geometric formulation for partially massless fields 2006 Nucl. Phys. B 756 117 [hep-th/0601095]
13. E. Sezgin and P. Sundell, An exact solution of 4D higher-spin gauge theory 2007 Nucl. Phys. B 762 1 [hep-th/0508158]
14. J. Engquist and P. Sundell, Brane partons and singleton strings 2006 Nucl. Phys. B 752 206 [hep-th/0508124]
15. A. Sagnotti, E. Sezgin and P. Sundell, On higher spins with a strong Sp(2,r) condition [hep-th/0501156]
16. E. Sezgin and P. Sundell, Massless higher spins and holography 2002 Nucl. Phys. B 644 303 [Erratum 2003 Nucl. Phys. B 660 403] [hep-th/0205131]
17. J. Engquist and O. Hohm, Higher-spin Chern-Simons theories in odd dimensions [0705.3714]
18. J. Engquist and O. Hohm, Geometry and dynamics of higher-spin frame fields [0708.1391]
19. D. Francia and A. Sagnotti, Free geometric equations for higher spins 2002 Phys. Lett. B 543 303 [hep-th/0207002]
20. D. Francia and A. Sagnotti, Minimal local lagrangians for higher-spin geometry 2005 Phys. Lett. B 624 93 [hep-th/0507144]
21. D. Francia, J. Mourad and A. Sagnotti, Current exchanges and unconstrained higher spins 2007 Nucl. Phys. B 773 203 [hep-th/0701163]
22. I.L. Buchbinder, V.A. Krykhtin and A. Pashnev, BRST approach to lagrangian construction for fermionic massless higher spin fields 2005 Nucl. Phys. B 711 367 [hep-th/0410215]
23. I.L. Buchbinder and V.A. Krykhtin, Gauge invariant lagrangian construction for massive bosonic higher spin fields in D dimensions 2005 Nucl. Phys. B 727 537 [hep-th/0505092]
24. I.L. Buchbinder and V.A. Krykhtin, BRST approach to higher spin field theories [hep-th/0511276]
25. I.L. Buchbinder, V.A. Krykhtin, L.L. Ryskina and H. Takata, Gauge invariant lagrangian construction for massive higher spin fermionic fields 2006 Phys. Lett. B 641 386 [hep-th/0603212]
26. I.L. Buchbinder, V.A. Krykhtin and H. Takata, Gauge invariant lagrangian construction for massive bosonic mixed symmetry higher spin fields [0707.2181]
27. I.L. Buchbinder, A.V. Galajinsky and V.A. Krykhtin, Quartet unconstrained formulation for massless higher spin fields [hep-th/0702161]
28. I.L. Buchbinder, V.A. Krykhtin and A.A. Reshetnyak, BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space [hep-th/0703049]
29. P.Y. Moshin and A.A. Reshetnyak, BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields [0707.0386]
30. R.R. Metsaev, Lowest eigenvalues of the energy operator for totally (anti)symmetric massless fields of the n-dimensional anti-de Sitter group 1994 Class. Quantum Grav. 11 L141
31. R.R. Metsaev>, Arbitrary spin massless bosonic fields in d-dimensional anti-de Sitter space [hep-th/9810231]
32. R.R. Metsaev, Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space 2006 Phys. Lett. B 643 205 [hep-th/0609029]
33. R.R. Metsaev, Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space 2006 Phys. Lett. B 643 205 [hep-th/0609029]
34. X. Bekaert, N. Boulanger and S. Cnockaert, Spin three gauge theory revisited 2006 J. High Energy Phys. JHEP01(2006)052 [hep-th/0508048]
35. X. Bekaert, N. Boulanger, S. Cnockaert and S. Leclercq, On Killing tensors and cubic vertices in higher-spin gauge theories 2006 Fortschr. Phys. 54 282 [hep-th/0602092]
36. N. Boulanger, S. Leclercq and S. Cnockaert, Parity violating vertices for spin-3 gauge fields 2006 Phys. Rev. D 73 065019 [hep-th/0509118]
37. N. Boulanger and S. Leclercq, Consistent couplings between spin-2 and spin-3 massless fields 2006 J. High Energy Phys. JHEP11(2006)034 [hep-th/0609221]
38. S. Deser and A. Waldron, Partial masslessness of higher spins in (A)dS 2001 Nucl. Phys. B 607 577 [hep-th/0103198]
39. S. Deser and A. Waldron, Gauge invariances and phases of massive higher spins in (A)dS 2001 Phys. Rev. Lett. 87 031601 [hep-th/0102166]
40. S. Deser and A. Waldron, Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations 2001 Phys. Lett. B 513 137 [hep-th/0105181]
41. Y.M. Zinoviev, On massive spin 2 interactions 2007 Nucl. Phys. B 770 83 [hep-th/0609170]
42. Y.M. Zinoviev, On massive high spin particles in (A)dS [hep-th/0108192]
43. B. Sundborg, Stringy gravity, interacting tensionless strings and massless higher spins 2001 Nucl. Phys. (Proc. Suppl.) 102 113 [hep-th/0103247]
44. I.R. Klebanov and A.M. Polyakov, AdS dual of the critical O(N) vector model 2002 Phys. Lett. B 550 213 [hep-th/0210114]
45. A.C. Petkou, Evaluating the AdS dual of the critical O(N) vector model 2003 J. High Energy Phys. JHEP03(2003)049 [hep-th/0302063]
46. 4 2003 J. High Energy Phys. JHEP06(2003)011 [hep-th/0304217]
47. K.B. Alkalaev, O.V. Shaynkman and M.A. Vasiliev, Frame-like formulation for free mixed-symmetry bosonic massless higher-spin fields in AdS(d) [hep-th/0601225]
48. K.B. Alkalaev, O.V. Shaynkman and M.A. Vasiliev, Lagrangian formulation for free mixed-symmetry bosonic gauge fields in (A)ds(d) 2005 J. High Energy Phys. JHEP08(2005)069 [hep-th/0501108]
49. 5 and higher spin holography 2003 J. High Energy Phys. JHEP07(2003)062 [hep-th/0305052]
50. N. Beisert, M. Bianchi, J.F. Morales and H. Samtleben, On the spectrum of AdS/CFT beyond supergravity 2004 J. High Energy Phys. JHEP02(2004)001 [hep-th/0310292]
51. I.A. Bandos and J. Lukierski, Tensorial central charges and new superparticle models with fundamental spinor coordinates 1999 Mod. Phys. Lett. A 14 1257 [hep-th/9811022]
52. I.A. Bandos, J. Lukierski and D.P. Sorokin, Superparticle models with tensorial central charges 2000 Phys. Rev. D 61 045002 [hep-th/9904109]
53. I. Bandos, X. Bekaert, J.A. de Azcarraga, D. Sorokin and M. Tsulaia, Dynamics of higher spin fields and tensorial space 2005 J. High Energy Phys. JHEP05(2005)031 [hep-th/0501113]
54. 11 and higher spin theories, 2007 Phys. Lett. B 650 197 [hep-th/0701026]
55. S. Fedoruk, E. Ivanov and J. Lukierski, Massless higher spin D = 4 superparticle with both N = 1 supersymmetry and its bosonic counterpart 2006 Phys. Lett. B 641 226 [hep-th/0606053]
56. A.K.H. Bengtsson, Structure of higher spin gauge interactions [hep-th/0611067]
57. A.K.H. Bengtsson, Structure of higher spin gauge interactions [hep-th/0611067]
58. P. Benincasa and F. Cachazo, Consistency conditions on the S-matrix of massless particles [0705.4305]
59. C. Fronsdal, Massless fields with integer spin 1978 Phys. Rev. D 18 3624
60. C. Fronsdal, Singletons and massless, integral spin fields on de Sitter space (elementary particles in a curved space. 7 1979 Phys. Rev. D 20 848
61. A.K.H. Bengtsson, I. Bengtsson and L. Brink, Cubic interaction terms for arbitrarily extended supermultiplets 1983 Nucl. Phys. B 227 41
62. A.K.H. Bengtsson, BRST approach to interacting higher spin gauge fields 1988 Class. Quantum Grav. 5 437
63. W. Siegel and B. Zwiebach, Gauge string fields 1986 Nucl. Phys. B 263 105
64. V.D. Gershun and A.I. Pashnev, Relativistic system of interacting points as a discrete string 1987 Theor. Math. Phys. 73 1227 [1987 Teor. Mat. Fiz. 73 294]
65. A.I. Pashnev, Composite systems and field theory for a free regge trajectory 1989 Theor. Math. Phys. 78 272 [1989 Teor. Mat. Fiz. 78 384]
66. S. Ouvry and J. Stern, Gauge fields of any spin and symmetry 1986 Phys. Lett. B 177 335
67. C.S. Aulakh, I.G. Koh and S. Ouvry, Higher spin fields with mixed symmetry 1986 Phys. Lett. B 173 284
68. X. Bekaert, I.L. Buchbinder, A. Pashnev and M. Tsulaia, On higher spin theory: strings, BRST, dimensional reductions 2004 Class. Quantum Grav. 21 S1457 [hep-th/0312252]
69. A. Neveu and P.C. West, Symmetries of the interacting gauge covariant bosonic string 1986 Nucl. Phys. B 278 601
70. D.J. Gross and A. Jevicki, Operator formulation of interacting string field theory 1987 Nucl. Phys. B 283 1
71. D.J. Gross and A. Jevicki, Operator formulation of interacting string field theory. 2 1987 Nucl. Phys. B 287 225
72. A. Fotopoulos and M. Tsulaia, Interacting higher spins and the high energy limit of the bosonic string 2007 Phys. Rev. D 76 025014 [0705.2939]
73. I.L. Buchbinder, A. Fotopoulos, A.C. Petkou and M. Tsulaia, Constructing the cubic interaction vertex of higher spin gauge fields 2006 Phys. Rev. D 74 105018 [hep-th/0609082]
74. D. Francia and A. Sagnotti, On the geometry of higher-spin gauge fields 2003 Class. Quantum Grav. 20 S473 [hep-th/0212185]
75. A. Sagnotti and M. Tsulaia, On higher spins and the tensionless limit of string theory 2004 Nucl. Phys. B 682 83 [hep-th/0311257]
76. A. Fotopoulos, K.L. Panigrahi and M. Tsulaia, Lagrangian formulation of higher spin theories on AdS space 2006 Phys. Rev. D 74 085029 [hep-th/0607248]
77. G. Barnich, N. Bouatta and M. Grigoriev, Surface charges and dynamical Killing tensors for higher spin gauge fields in constant curvature spaces 2005 J. High Energy Phys. JHEP10(2005)010 [hep-th/0507138]
78. X. Bekaert, Higher spin algebras as higher symmetries [0704.0898]
79. D. Anselmi, Higher-spin current multiplets in operator-product expansions 2000 Class. Quantum Grav. 17 1383 [hep-th/9906167]
80. M.A. Vasiliev, Higher spin gauge theories: star-product and AdS space [hep-th/9910096]
81. 4 and generalized Weyl invariance 2004 Phys. Lett. B 593 253 [hep-th/0403241]
82. T. Leonhardt, R. Manvelyan and W. Ruhl, Coupling of higher spin gauge fields to a scalar field in AdS(d+1) and their holographic images in the d-dimensional σ-model [hep-th/0401240]
83. S.E. Konstein, M.A. Vasiliev and V.N. Zaikin, Conformal higher spin currents in any dimension and AdS/CFT correspondence 2000 J. High Energy Phys. JHEP12(2000)018 [hep-th/0010239]
84. O.A. Gelfond, E.D. Skvortsov and M.A. Vasiliev, Higher spin conformal currents in Minkowski space [hep-th/0601106]
85. 3 2000 Theor. Math. Phys. 123 415 [2000 Teor. Mat. Fiz. 123 3] [hep-th/9907020]
86. 3 1999 Phys. Lett. B 464 53 [hep-th/9906149]
87. A. Mikhailov, Notes on higher spin symmetries [hep-th/0201019]
88. M.G. Eastwood, Higher symmetries of the Laplacian [hep-th/0206233]
89. I.L. Buchbinder, V.A. Krykhtin and P.M. Lavrov, Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space 2007 Nucl. Phys. B 762 344 [hep-th/0608005]
90. I.L. Buchbinder, A. Pashnev and M. Tsulaia, Lagrangian formulation of the massless higher integer spin fields in the AdS background 2001 Phys. Lett. B 523 338 [hep-th/0109067]
91. A. Pashnev and M. Tsulaia, Description of the higher massless irreducible integer spins in the BRST approach 1998 Mod. Phys. Lett. A 13 1853 [hep-th/9803207]
92. I.L. Buchbinder, A. Pashnev and M. Tsulaia, Massless higher spin fields in the AdS background and BRST constructions for nonlinear algebras [hep-th/0206026]
93. F.A. Berends, G.J.H. Burgers and H. van Dam, Explicit construction of conserved currents for massless fields of arbitrary spin 1986 Nucl. Phys. B 271 429
94. F.A. Berends, G.J.H. Burgers and H. van Dam, On the theoretical problems in constructing interactions involving higher spin massless particles 1985 Nucl. Phys. B 260 295
95. H. Osborn and A.C. Petkou, Implications of conformal invariance in field theories for general dimensions 1994 Ann. Phys. (NY) 231 311 [hep-th/9307010]