Spinning particles and higher spin fields on (A)dS backgrounds

Journal of High Energy Physics

Volumn 2008, Issue 11, 2008, Pages

  Bastianelli, Fiorenzo ^a,b   Corradini, Olindo ^a,b   Latini, Emanuele ^a,c  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b INFN SEZIONE DI BOLOGNA   (Italy)

^c INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

Author keywords

Gauge symmetry; Sigma models; Supergravity models

Indexed keywords

EID: 58149279659     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/11/054     Document Type: Article

References (61)

1. F. Bastianelli, O. Corradini and E. Latini, Higher spin fields from a worldline perspective 2007 J. High Energy Phys. JHEP02(2007)072 [hep-th/0701055]
2. V.D. Gershun and V.I. Tkach, Classical and quantum dynamics of particles with arbitrary spin (in Russian), 1979 Pisma Zh. Eksp. Teor. Fiz. 29 320 [1979 Sov. Phys. JETP 29 288 ]
3. P.S. Howe, S. Penati, M. Pernici and P.K. Townsend, Wave equations for arbitrary spin from quantization of the extended supersymmetric spinning particle 1988 Phys. Lett. B 215 555
4. P.S. Howe, S. Penati, M. Pernici and P.K. Townsend, A particle mechanics description of antisymmetric tensor fields 1989 Class. Quantum Grav. 6 1125
5. M.A. Vasiliev, Higher spin gauge theories in various dimensions 2004 Fortschr. Phys. 52 702 [hep-th/0401177]
6. D. Sorokin, Introduction to the classical theory of higher spins 2005 AIP Conf. Proc. 767 172 [hep-th/0405069]
7. N. Bouatta, G. Compere and A. Sagnotti, An introduction to free higher-spin fields [hep-th/0409068]
8. X. Bekaert, S. Cnockaert, C. Iazeolla and M.A. Vasiliev, Nonlinear higher spin theories in various dimensions [hep-th/0503128]
9. A. Fotopoulos and M. Tsulaia, Gauge invariant Lagrangians for free and interacting higher spin fields. A review of the BRST formulation [0805.1346]
10. M. Porrati, Universal limits on massless high-spin particles [0804.4672]
11. P. Benincasa and F. Cachazo, Consistency conditions on the S-matrix of massless particles [0705.4305]
12. S.M. Kuzenko and Z.V. Yarevskaya, Conformal invariance, N-extended supersymmetry and massless spinning particles in anti-de Sitter space 1996 Mod. Phys. Lett. A 11 1653 [hep-th/9512115]
13. W. Siegel, Conformal invariance of extended spinning particle mechanics 1988 Int. J. Mod. Phys. A 3 2713
14. W. Siegel, All free conformal representations in all dimensions 1989 Int. J. Mod. Phys. A 4 2015
15. R. Marnelius, Manifestly conformal covariant description of spinning and charged particles 1979 Phys. Rev. D 20 2091
16. F. Bastianelli and P. van Nieuwenhuizen, Path integrals and anomalies in curved space http://www.slac.stanford.edu/spires/find/hep/www?irn=6927343, Cambridge U.K. (2006)
17. F. Bastianelli, Path integrals in curved space and the worldline formalism [hep-th/0508205]
18. F. Bastianelli and A. Zirotti, Worldline formalism in a gravitational background 2002 Nucl. Phys. B 642 372 [hep-th/0205182]
19. F. Bastianelli, O. Corradini and A. Zirotti, Dimensional regularization for SUSY σ-models and the worldline formalism 2003 Phys. Rev. D 67 104009 [hep-th/0211134]
20. F. Bastianelli, O. Corradini and A. Zirotti, BRST treatment of zero modes for the worldline formalism in curved space 2004 J. High Energy Phys. JHEP01(2004)023 [hep-th/0312064]
21. F. Bastianelli, P. Benincasa and S. Giombi, Worldline approach to vector and antisymmetric tensor fields 2005 J. High Energy Phys. JHEP04(2005)010 [hep-th/0503155]
22. F. Bastianelli, P. Benincasa and S. Giombi, Worldline approach to vector and antisymmetric tensor fields. II 2005 J. High Energy Phys. JHEP10(2005)114 [hep-th/0510010]
23. D. Francia and A. Sagnotti, Free geometric equations for higher spins 2002 Phys. Lett. B 543 303 [hep-th/0207002]
24. D. Francia and A. Sagnotti, On the geometry of higher-spin gauge fields 2003 Class. Quantum Grav. 20 S473 [hep-th/0212185]
25. D. Francia and A. Sagnotti, Minimal local Lagrangians for higher-spin geometry 2005 Phys. Lett. B 624 93 [hep-th/0507144]
26. S. Weinberg, Photons and gravitons in perturbation theory: derivation of Maxwell's and Einstein's equations 1965 Phys. Rev. 138 B988
27. B. de Wit and D.Z. Freedman, Systematics of higher spin gauge fields 1980 Phys. Rev. D 21 358
28. A. Sagnotti and M. Tsulaia, On higher spins and the tensionless limit of string theory 2004 Nucl. Phys. B 682 83 [hep-th/0311257]
29. D. Francia, J. Mourad and A. Sagnotti, Current exchanges and unconstrained higher spins 2007 Nucl. Phys. B 773 203 [hep-th/0701163]
30. 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]
31. 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]
32. X. Bekaert and N. Boulanger, Tensor gauge fields in arbitrary representations of GL(D,R): duality and Poincaré lemma 2004 Comm. Math. Phys. 245 27 [hep-th/0208058]
33. X. Bekaert and N. Boulanger, On geometric equations and duality for free higher spins 2003 Phys. Lett. B 561 183 [hep-th/0301243]
34. X. Bekaert and N. Boulanger, Tensor gauge fields in arbitrary representations of GL(D,R). II: quadratic actions 2007 Comm. Math. Phys. 271 723 [hep-th/0606198]
35. P. de Medeiros and C. Hull, Exotic tensor gauge theory and duality 2003 Comm. Math. Phys. 235 255 [hep-th/0208155]
36. P. de Medeiros and C. Hull, Geometric second order field equations for general tensor gauge fields 2003 J. High Energy Phys. JHEP05(2003)019 [hep-th/0303036]
37. 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]
38. C. Fronsdal, Massless fields with integer spin 1978 Phys. Rev. D 18 3624
39. J.M.F. Labastida, Massless bosonic free fields 1987 Phys. Rev. Lett. 58 531
40. J.M.F. Labastida, Massless particles in arbitrary representations of the Lorentz group 1989 Nucl. Phys. B 322 185
41. M.A. Bershadsky, Superconformal algebras in two-dimensions with arbitrary N 1986 Phys. Lett. B 174 285
42. V.G. Knizhnik, Superconformal algebras in two-dimensions 1986 Theor. Math. Phys. 66 68 [1986 Teor. Mat. Fiz. 66 102 ]
43. 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]
44. 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]
45. I.A. Bandos, J. Lukierski and D.P. Sorokin, Superparticle models with tensorial central charges 2000 Phys. Rev. D 61 045002 [hep-th/9904109]
46. K. Hallowell and A. Waldron, Supersymmetric quantum mechanics and super-Lichnerowicz algebras 2008 2007 Comm. Math. Phys. 278 775 [hep-th/0702033]
47. K. Hallowell and A. Waldron, The symmetric tensor Lichnerowicz algebra and a novel associative Fourier-Jacobi algebra [SIGMA 3 089] [0707.3164]
48. A. Pashnev and M.M. Tsulaia, Dimensional reduction and BRST approach to the description of aRegge trajectory 1997 Mod. Phys. Lett. A 12 861 [hep-th/9703010]
49. A. Pashnev and M.M. Tsulaia, Description of the higher massless irreducible integer spins in the BRST approach 1998 Mod. Phys. Lett. A 13 1853 [hep-th/9803207]
50. M. Henneaux, Hamiltonian form of the path integral for theories with a gauge freedom 1985 Phys. Rep. 126 1
51. V. Bargmann and E.P. Wigner, Group theoretical discussion of relativistic wave equations 1948 Proc. Nat. Acad. Sci. 34 211
52. R. Marnelius and U. Martensson, BRST quantization of free massless relativistic particles of arbitrary spin 1989 Nucl. Phys. B 321 185
53. W. Siegel, Fields chapter XII, [hep-th/9912205]
54. P. Arvidsson and R. Marnelius, Conformal theories including conformal gravity as gauge theories on the hypercone [hep-th/0612060]
55. R.R. Metsaev, All conformal invariant representations of d-dimensional anti-de Sitter group 1995 Mod. Phys. Lett. A 10 1719
56. J. Engquist and O. Hohm, Geometry and dynamics of higher-spin frame fields 2008 J. High Energy Phys. JHEP04(2008)101 [0708.1391]
57. d+1 space, 2008 Nucl. Phys. B 797 371 [0705.3528]
58. 4 space, 2008 Nucl. Phys. B 796 457 [0710.0952]
59. T. Damour and S. Deser, 'Geometry' of spin 3 gauge theories 1987 Annales Poincaré Phys. Theor. 47 277
60. S. Ouvry and J. Stern, Gauge fields of any spin and symmetry 1986 Phys. Lett. B 177 335
61. W. Siegel and B. Zwiebach, Gauge string fields from the light cone 1987 Nucl. Phys. B 282 125