Superfield theories in tensorial superspaces and the dynamics of higher spin fields

Journal of High Energy Physics

Volumn 8, Issue 11, 2004, Pages 639-673

  Bandos, Igor ^a,b   Pasti, Paolo ^c   Sorokin, Dmitri ^c   Tonin, Mario ^c  

^a INSTITUTO DE FÍSICA CORPUSCULAR IFIC   (Spain)

^b KHARKOV INSTITUTE OF PHYSICS AND TECHNOLOGY   (Ukraine)

^c UNIVERSITY OF PADOVA   (Italy)

Author keywords

M Theory; Space Time Symmetries; Supergravity Models; Superspaces

Indexed keywords

EID: 21444452849     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/11/023     Document Type: Article

References (65)

1. M.A. Vasiliev, Progress in higher spin gauge theories, hep-th/0104246;
2. Higher-spin theories and Sp(2m) invariant space-time, hep-th/0301235, and refs. therein.
3. D. Sorokin, Introduction to the classical theory of higher spins, hep-th/0405069.
4. E.S. Fradkin and M.A. Vasiliev, On the gravitational interaction of massless higher spin fields, Phys. Lett. B 189 (1987) 89;
5. Cubic interaction in extended theories of massless higher spin fields, Nucl. Phys. B 291 (1987) 141.
6. M.A. Vasiliev, Consistent equations for interacting massless fields of all spins in the first order in curvatures, Ann. Phys. (NY) 190 (1989) 59.
7. M.A. Vasiliev, Nonlinear equations for symmetric massless higher spin fields in (a)ds(d), Phys. Lett. B 567 (2003) 139 [hep-th/0304049];
8. Higher spin gauge theories in various dimensions, Fortschr. Phys. 52 (2004) 702 [hep-th/0401177].
9. A.K.H. Bengtsson, I. Bengtsson and L. Brink, Cubic interaction terms for arbitrary spin, Nucl. Phys. B 227 (1983) 31;
10. Cubic interaction terms for arbitrarily extended supermultiplets, Nucl. Phys. B 227 (1983) 41.
11. F.A. Berends, G.J.H. Burgers and H. Van Dam, On spin three selfinteractions, Z. Physik C 24 (1984) 247;
12. On the theoretical problems in constructing interactions involving higher spin massless particles, Nucl. Phys. B 260 (1985) 295.
13. T. Damour and S. Deser, Higher derivative interactions of higher spin gauge fields, Class. and Quant. Grav. 4 (1987) L95.
14. M.A. Vasiliev, Unfolded representation for relativistic equations in (2+1) anti-de Sitter space, Class. and Quant. Grav. 11 (1994) 649.
15. M.A. Vasiliev, Higher spin gauge theories: star-product and AdS space, hep-th/9910096.
16. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
17. I.L. Buchbinder, A. Pashnev and M. Tsulaia, Lagrangian formulation of the massless higher integer spin fields in the AdS background, Phys. Lett. B 523 (2001) 338 [hep-th/0109067];
18. Massless higher spin fields in the AdS background and brst constructions for nonlinear algebras, hep-th/0206026;
19. G. Bonelli, On the tensionless limit of bosonic strings, infinite symmetries and higher spins, Nucl. Phys. B 669 (2003) 159 [hep-th/0305155];
20. On the covariant quantization of tensionless bosonic strings in AdS spacetime, J. High Energy Phys. 11 (2003) 028 [hep-th/0309222];
21. On the boundary gauge dual of closed tensionless free strings in AdS, hep-th/0407144;
22. A. Sagnotti and M. Tsulaia, On higher spins and the tensionless limit of string theory, Nucl. Phys. B 682 (2004) 83 [hep-th/0311257];
23. X. Bekaert, I.L. Buchbinder, A. Pashnev and M. Tsulaia, On higher spin theory: strings, brst, dimensional reductions, Class. and Quant. Grav. 21 (2004) S1457 [hep-th/0312252].
24. I.A. Bandos and A.A. Zheltukhin, Null super p-branes quantum theory in four-dimensional space-time, Fortschr. Phys. 41 (1993) 619 and refs. therein.
25. C. Fronsdal, Massless particles, ortosymplectic symmetry and another type of Kaluza-Klein theory, Preprint UCLA/85/TEP/10, in Essays on super symmetry, Reidel, 1986, Mathematical physics studies, v. 8.
26. I.A. Bandos and J. Lukierski, Tensorial central charges and new superparticle models with fundamental spinor coordinates, Mod. Phys. Lett. A 14 (1999) 1257 [hep-th/9811022].
27. I.A. Bandos and J. Lukierski, New superparticle models outside the his supersymmetry scheme, Lect. Notes Phys. 539 (2000) 195-210 [hep-th/9812074].
28. I.A. Bandos, J. Lukierski and D.P. Sorokin, Superparticle models with tensorial central charges, Phys. Rev. D 61 (2000) 045002 [hep-th/9904109].
29. I.A. Bandos, J.A. de Azcárraga, J.M. Izquierdo, M. Picón and O. Varela, On BPS preons, generalized holonomies and D = 11 supergravities, Phys. Rev. D 69 (2004) 105010 [hep-th/0312266].
30. I.A. Bandos, J.A. de Azcárraga, J.M. Izquierdo and J. Lukierski, BPS states in M-theory and twistorial constituents, Phys. Rev. Lett. 86 (2001) 4451 [hep-th/0101113].
31. I.A. Bandos, J. Lukierski, C. Preitschopf and D.P. Sorokin, Osp supergroup manifolds, superparticles and supertwistors, Phys. Rev. D 61 (2000) 065009 [hep-th/9907113].
32. M.A. Vasiliev, Conformal higher spin symmetries of 4d massless supermultiplets and OSp(l, 2m) invariant equations in generalized (super)space, Phys. Rev. D 66 (2002) 066006 [hep-th/0106149].
33. M.A. Vasiliev, Relativity, causality, locality, quantization and duality in the Sp(2m) invariant generalized space-time, hep-th/0111119.
34. V.E. Didenko and M.A. Vasiliev, Free field dynamics in the generalized AdS (super)space, J. Math. Phys. 45 (2004) 197 [hep-th/0301054].
35. M. Plyushchay, D. Sorokin and M. Tsulaia, Higher spins from tensorial charges and OSp(n|2n) symmetry, J. High Energy Phys. 04 (2003) 013 [hep-th/0301067].
36. M. Plyushchay, D. Sorokin and M. Tsulaia, GL flatness of OSp(1|2n) and higher spin field theory from dynamics in tensorial spaces, hep-th/0310297.
37. O.A. Gelfond and M.A. Vasiliev, Higher rank conformal fields in the Sp(2m) symmetric generalized space-time, hep-th/0304020.
38. M. A. Vasiliev, Equations of motion of interacting massless fields of all spins as a free differential algebra, Phys. Lett. B 209 (1988) 491;
39. Consistent equations for interacting massless fields of all spins in the first order in curvatures, Ann. Phys. (NY) 190 (1989) 59.
40. M.A. Vasiliev, Extended higher spin superalgebras and their realizations in terms of quantum operators, Fortschr. Phys. 36 (1988) 33;
41. S.E. Konstein and M.A. Vasiliev, Extended higher spin superalgebras and their massless representations, Nucl. Phys. B 331 (1990) 475.
42. J. Engquist, E. Sezgin and P. Sundell, On N = 1,2,4 higher spin gauge theories in four dimensions, Class. and Quant. Grav. 19 (2002) 6175 [hep-th/0207101];
43. Superspace formulation of 4D higher spin gauge theory, Nucl. Phys. B 664 (2003) 439 [hep-th/0211113].
44. M. Brown and S.J. Gates Jr., Superspace Bianchi identities and the supercovariant derivative, Ann. Phys. (NY) 122 (1979) 443;
45. B.M. Zupnik and D.G. Pak, Superfiled formulation of simplest three-dimansional gauge theories and conformal supergravities, Theor. Math. Phys. 77 (1988) 1070;
46. Differential and integral forms in supergrauge theories and supergravity, Class. and Quant. Grav. 6 (1989) 723;
47. M. Becker et al., M-theory on Spin(7) manifolds, fluxes and 3d, N =1 supergravity, Nucl. Phys. B 683 (2004) 67 [hep-th/0312040].
48. E.S. Fradkin and M.A. Vasiliev, Superalgebra of higher spins and auxiliary fields, Int. J. Mod. Phys. A 3 (1988) 2983;
49. S.E. Konstein and M.A. Vasiliev, Extended higher spin superalgebras and their massless representations, Nucl. Phys. B 331 (1990) 475.
50. N. Dragon, Torsion and curvature in extended supergravity, Z. Physik C 2 (1979) 29.
51. S.J. Gates Jr. and W. Siegel, Understanding constraints in superspace formulations of supergravity, Nucl. Phys. B 163 (1980) 519;
52. S.J. Gates Jr., K.S. Stelle and P.C. West, Algebraic origins of superspace constraints in supergravity, Nucl. Phys. B 169 (1980) 347.
53. P.S. Howe and G. Papadopoulos, N = 2, D = 2 super geometry, Class. and Quant. Grav. 4 (1987) 11;
54. P.S. Howe, Weyl superspace, Phys. Lett. B 415 (1997) 149 [hep-th/9707184].
55. I.A. Bandos, E. Ivanov, J. Lukierski and D. Sorokin, On the superconformal flatness of AdS superspaces, J. High Energy Phys. 06 (2002) 040 [hep-th/0205104].
56. B. de Wit and D.Z. Freedman, Systematics of higher spin gauge fields, Phys. Rev. D 21 (1980) 358.
57. M.T. Grisaru, P.S. Howe, L. Mezincescu, B. Nilsson and P.K. Townsend, N = 2 superstrings in a supergravity background, Phys. Lett. B 162 (1985) 116;
58. E. Bergshoeff, E. Sezgin and P.K. Townsend, Supermembranes and eleven-dimensional supergravity, Phys. Lett. B 189 (1987) 75;
59. J.A. Shapiro and C.C. Taylor, The space-time supersymmetric formulation of the string, Phys. Rept. 191 (1990) 221;
60. I.A. Bandos and J.M. Isidro, D = 4 supergravity dynamically coupled to superstring in a superfield lagrangian approach, Phys. Rev. D 69 (2004) 085009 [hep-th/0308102], and references therein.
61. S.J. Gates, M.T. Grisaru, M. Roček and W. Siegel, Superspace, or one thousand and one lessons in supersymmetry, Front. Phys. 58 (1983) 1 [hep-th/0108200];
62. J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, 1992, p. 259;
63. I.L. Buchbinder and S.M. Kuzenko, Ideas and methods of supersymmetry and supergravity or a walk through superspace, IOP Publishing, Bristol, UK, 1995, p. 640;
64. W. Siegel, Fields, hep-th/9912205.
65. 5 at the cubic level, Nucl. Phys. B 655 (2003) 57 [hep-th/0206068].