Consistent couplings between spin-2 and spin-3 massless fields

Journal of High Energy Physics

Volumn 2006, Issue 11, 2006, Pages

  Boulanger, Nicolas ^a   Leclercq, Serge ^a  

^a UNIVERSITY OF MONS   (Belgium)

Author keywords

BRST Symmetry; Field Theories in Higher Dimensions; Gauge Symmetry

Indexed keywords

EID: 33846203850     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/11/034     Document Type: Review

References (43)

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. , Higher spin gauge theories in various dimensions 2004 2004 Fortschr. Phys. 52 702 [hep-th/0401177]; Higher spin gauge theories in any dimension Comptes Rendus Physique 5 1101-1109 [hep-th/0409260]
4. B. de Wit and D.Z. Freedman, Systematics of higher spin gauge fields 1980 Phys. Rev. D 21 358
5. N. Boulanger, T. Damour, L. Gualtieri and M. Henneaux, Inconsistency of interacting, multigraviton theories 2001 Nucl. Phys. B 597 127 [hep-th/0007220]
6. N. Boulanger and L. Gualtieri, An exotic theory of massless spin-two fields in three dimensions 2001 Class. Quantum Grav. 18 1485 [hep-th/0012003]
7. X. Bekaert, N. Boulanger and S. Cnockaert, Spin three gauge theory revisited 2006 J. High Energy Phys. JHEP01(2006)052 [hep-th/0508048]
8. N. Boulanger, S. Leclercq and S. Cnockaert, Parity violating vertices for spin-3 gauge fields 2006 Phys. Rev. D 73 065019 [hep-th/0509118]
9. 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]
10. M. Henneaux, Consistent interactions between gauge fields: the cohomological approach 1998 Contemp. Math. 219 93 [hep-th/9712226]
11. N. Boulanger, Multi-graviton theories: yes-go and no-go results 2002 Fortschr. Phys. 50 858 [hep-th/0111216]
12. 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]
13. R.R. Metsaev, Cubic interaction vertices of massive and massless higher spin fields [hep-th/0512342]
14. I.L. Buchbinder, A. Fotopoulos, A.C. Petkou and M. Tsulaia, Constructing the cubic interaction vertex of higher spin gauge fields [hep-th/0609082]
15. 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
16. 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
17. C. Aragone and H. La Roche, Massless second order tetradic spin 3 fields and higher helicity bosons 1982 Nuovo Cim. A 72 149
18. S. Deser and Z. Yang, Inconsistency of spin 4 - spin-2 gauge field couplings 1990 Class. Quantum Grav. 7 1491
19. S. Weinberg, Photons and gravitons in perturbation theory: Derivation of Maxwell's and Einstein's equations 1965 Phys. Rev. 138 B988.
20. T. Damour and S. Deser, Higher derivative interactions of higher spin gauge fields 1987 Class. Quantum Grav. 4 L95
21. F.A. Berends, G.J.H. Burgers and H. Van Dam, On spin three selfinteractions 1984 Z. Physik C 24 247
22. A. Sagnotti, E. Sezgin and P. Sundell, On higher spins with a strong Sp(2,ℝ) condition, [hep-th/0501156]
23. X. Bekaert, S. Cnockaert, C. Iazeolla and M.A. Vasiliev, Nonlinear higher spin theories in various dimensions [hep-th/0503128]
24. Both works published in the proceedings of the First Solvay Workshop on Higher Spin Gauge Theories (Brussels, May 2004)
25. E.S. Fradkin and M.A. Vasiliev, On the gravitational interaction of massless higher spin fields 1987 Phys. Lett. B 189 89
26. E.S. Fradkin and M.A. Vasiliev, Cubic interaction in extended theories of massless higher spin fields 1987 Nucl. Phys. B 291 141
27. 5 2001 Nucl. Phys. B 616 106 [hep-th/0106200]
28. , Erratum 2003 Nucl. Phys. B 652 407
29. 5 at the cubic level 2003 Nucl. Phys. B 655 57 [hep-th/0206068]
30. X. Bekaert and N. Boulanger, On geometric equations and duality for free higher spins 2003 Phys. Lett. B 561 183 [hep-th/0301243]
31. X. Bekaert and N. Boulanger, Mixed symmetry gauge fields in a flat background in the proceedings of the International Seminar on Supersymmetries and Quantum Symmetries "SQS 03" (Dubna, July 2003) [hep-th/0310209]
32. D. Francia and A. Sagnotti, Free geometric equations for higher spins 2002 Phys. Lett. B 543 303 [hep-th/0207002]
33. D. Francia and A. Sagnotti, On the geometry of higher-spin gauge fields 2003 Class. Quant. Grav. 20 S473-S486 [hep-th/0212185]
34. T. Damour and S. Deser, 'Geometry' of spin 3 gauge theories 1987 Annales Poincaré Phys. Théor. 47 277
35. 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]
36. 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]
37. X. Bekaert and N. Boulanger, Tensor gauge fields in arbitrary representations of GL(D,R). II: quadratic actions [hep-th/0606198]
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. 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]
40. 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]
41. 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)
42. 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]
43. J.A.M. Vermaseren, New features of form [math-ph/0010025]