Spin three gauge theory revisited

Journal of High Energy Physics

Volumn , Issue 1, 2006, Pages 1301-1334

  Bekaert, Xavier ^a   Boulanger, Nicolas ^b,d   Cnockaert, Sandrine ^c,d  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^b UNIVERSITY OF MONS   (Belgium)

^c UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^d FNRS   (Belgium)

Author keywords

BRST Symmetry; Field Theories in Higher Dimensions; Gauge Symmetry

Indexed keywords

EID: 33645521563     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/01/052     Document Type: Article

References (62)

1. C. Fronsdal, Massless fields with integer spin 1978 Phys. Rev. D 18 3624
2. M.A. Vasiliev, Nonlinear equations for symmetric massless higher spin fields in (A)dS(d) 2003 Phys. Lett. B 567 139 [hep-th/0304049]
3. M.A. Vasiliev, Higher spin gauge theories in various dimensions 2004 Fortschr. Phys. 52 702 [hep-th/0401177]
4. Higher spin gauge theories in any dimension 2004 Comptes Rendus Physique 5 1101-1109 [hep-th/0409260]
5. A. Sagnotti, E. Sezgin and P. Sundell, On higher spins with a strong Sp(2,r) condition [hep-th/0501156]
6. X. Bekaert, S. Cnockaert, C. Iazeolla and M.A. Vasiliev, Nonlinear higher spin theories in various dimensions [hep-th/0503128]
7. published both in the proceedings of the First Solvay Workshop on Higher-Spin Gauge Theories (Brussels, May 2004)
8. B. de Wit and D.Z. Freedman, Systematics of higher spin gauge fields 1980 Phys. Rev. D 21 358
9. A.K.H. Bengtsson, I. Bengtsson and L. Brink, Cubic interaction terms for arbitrary spin 1983 Nucl. Phys. B 227 31
10. F.A. Berends, G.J.H. Burgers and H. van Dam, On spin three selfinteractions 1984 Z. Physik C 24 247
11. A.K.H. Bengtsson, On gauge invariance for spin 3 fields 1985 Phys. Rev. D 32 2031
12. I. Bengtsson, A covariant three point coupling for spin 3 CERN-TH-4097/85
13. 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
14. A.K.H. Bengtsson and I. Bengtsson, Massless higher spin fields revisited 1986 Class. Quantum Grav. 3 927
15. 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
16. T. Damour and S. Deser, Higher derivative interactions of higher spin gauge fields 1987 Class. Quantum Grav. 4 L95
17. A.K.H. Bengtsson, I. Bengtsson and N. Linden, Interacting higher spin gauge fields on the light front 1987 Class. Quantum Grav. 4 1333
18. A.K.H. Bengtsson, BRST approach to interacting higher spin gauge fields 1988 Class. Quantum Grav. 5 437
19. E.S. Fradkin and R.R. Metsaev, A cubic interaction of totally symmetric massless representations of the Lorentz group in arbitrary dimensions 1991 Class. Quantum Grav. 8 L89
20. R.R. Metsaev, Poincaré invariant dynamics of massless higher spins: fourth order analysis on mass shell 1991 Mod. Phys. Lett. A 6 359
21. R.R. Metsaev, Generating function for cubic interaction vertices of higher spin fields in any dimension 1993 Mod. Phys. Lett. A 8 2413
22. R.R. Metsaev, Note on the cubic interaction of massless representations of the Poincaré group in D ≤ 5 space-time 1993 Class. Quantum Grav. 10 L39
23. R.R. Metsaev, Cubic interaction verties of totally symmetric and mixed symmetry massless representations of the Poincaré group in D ≤ 6 space-time 1993 Phys. Lett. B 309 39
24. R.R. Metsaev, Cubic interaction vertices for higher spin fields [hep-th/9705048]
25. C. Aragone and S. Deser, Consistency problems of hypergravity 1979 Phys. Lett. B 86 161
26. F. A. Berends, J. W. van Holten, B. de Wit and P. van Nieuwenhuizen, 1980 J. Phys. A 13 1643
27. C. Aragone and H. La Roche, Massless second order tetradic spin 3 fields and higher helicity bosons 1982 Nuovo Cim. A 72 149
28. S. Deser and Z. Yang, Inconsistency of spin 4-spin-2 gauge field couplings 1990 Class. Quantum Grav. 7 1491
29. E.S. Fradkin and M.A. Vasiliev, On the gravitational interaction of massless higher spin fields 1987 Phys. Lett. B 189 89
30. E.S. Fradkin and M.A. Vasiliev, Cubic interaction in extended theories of massless higher spin fields 1987 Nucl. Phys. B 291 141
31. 5 2001 Nucl. Phys. B 616 106 [hep-th/0106200]
32. 5 at the cubic level 2003 Nucl. Phys. B 655 57 [hep-th/0206068]
33. S. Weinberg, Photons and gravitons in perturbation theory: derivation of Maxwell's and Einstein's equations 1965 Phys. Rev. B 988 138
34. G. Barnich and M. Henneaux, Consistent couplings between fields with a gauge freedom and deformations of the master equation 1993 Phys. Lett. B 311 123 [hep-th/9304057]
35. M. Henneaux, Consistent interactions between gauge fields: the cohomological approach 1998 Contemp. Math. 219 93 [hep-th/9712226]
36. N. Boulanger, T. Damour, L. Gualtieri and M. Henneaux, Inconsistency of interacting, multigraviton theories 2001 Nucl. Phys. B 597 127 [hep-th/0007220]
37. X. Bekaert, N. Boulanger and S. Cnockaert, No self-interaction for two-column massless fields 2005 J. Math. Phys. 46 0123 03 [hep-th/0407102]
38. X. Bekaert and N. Boulanger, Gauge invariants and Killing tensors in higher-spin gauge theories 2005 Nucl. Phys. B 722 225 [hep-th/0505068]
39. D. Francia and A. Sagnotti, Free geometric equations for higher spins 2002 Phys. Lett. B 543 303 [hep-th/0207002]
40. D. Francia and A. Sagnotti, On the geometry of higher-spin gauge fields 2003 Class. Quantum Grav. 20 S473 [hep-th/0212185]
41. D. Francia and A. Sagnotti, Minimal local lagrangians for higher-spin geometry 2005 Phys. Lett. B 624 93 [hep-th/0507144]
42. 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]
43. T. Damour and S. Deser, 'Geometry' of spin 3 gauge theories 1987 Annales Poincaré Phys. Théor. 47 277
44. X. Bekaert and N. Boulanger, On geometric equations and duality for free higher spins 2003 Phys. Lett. B 561 183 [hep-th/0301243]
45. X. Bekaert and N. Boulanger, Mixed symmetry gauge fields in a flat background [hep-th/0310209]
46. M.A. Vasiliev, Extended higher spin superalgebras and their realizations in terms of quantum operators 1988 Fortschr. Phys. 36 33
47. S.E. Konshtein and M.A. Vasiliev, Massless representations and admissibility condition for higher spin superalgebras 1989 Nucl. Phys. B 312 402
48. S.E. Konshtein and M.A. Vasiliev, Extended higher spin superalgebras and their massless representations 1990 Nucl. Phys. B 331 475
49. M.A. Vasiliev, Higher spin superalgebras in any dimension and their representations 2004 J. High Energy Phys. JHEP12(2004)046 [hep-th/0404124]
50. M. Dubois-Violette and M. Henneaux, Generalized cohomology for irreducible tensor fields of mixed young symmetry type 1999 Lett. Math. Phys. 49 245 [math.qa/9907135]
51. M. Dubois-Violette and M. Henneaux, Tensor fields of mixed young symmetry type and n- complexes 2002 Comm. Math. Phys. 226 393 [math.qa/0110088]
52. M.A. Vasiliev, Gauge form of description of massless fields with arbitrary spin. (In Russian) 1980 Yad. Fiz. 32 855
53. G. Barnich, F. Brandt and M. Henneaux, Local brst cohomology in the antifield formalism, 1. General theorems 1995 Comm. Math. Phys. 174 57 [hep-th/9405109]
54. 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]
55. N. Bouatta, Approche BRST des systèmes invariants de jauge à spins élevés, Master Degree Thesis defended at the Free University of Brussels, Academic year 2003-2004
56. G. Barnich, F. Brandt and M. Henneaux, Local BRST cohomology in the antifield formalism, II. Application to Yang-Mills theory 1995 Comm. Math. Phys. 174 93 [hep-th/9405194]
57. J.M. Lee, "Ricci" software package http://www.math.washington. edu/∼lee
58. M. Henneaux, B. Knaepen and C. Schomblond, Characteristic cohomology of p-form gauge theories 1997 Comm. Math. Phys. 186 137 [hep-th/9606181]
59. M. Henneaux and C. Teitelboim, Quantization of gauge systems (Princeton University Press), 1992
60. J.A.M. Vermaseren, New features of FORM [math-ph/0010025]
61. V.E. Lopatin and M.A. Vasiliev, Free massless bosonic fields of arbitrary spin in d-dimensional de Sitter space 1988 Mod. Phys. Lett. A 3 257
62. N. Boulanger, S. Leclercq and S. Cnockaert, Parity violating vertices for spin-3 gauge fields [hep-th/0509118]