Conformal higher spin symmetries of 4D massless supermultiplets and osp (L,2M) invariant equations in generalized (super)space

Physical Review D

Volumn 66, Issue 6, 2002, Pages

  Vasiliev, M A ^a  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; GEOMETRY; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; QUANTUM THEORY; SPACE;

EID: 4243870729     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.066006     Document Type: Article

References (121)

1. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998);
2. Int. J. Theor. Phys. 38, 1113 (1998).
3. S. Ferrara and C. Fronsdal, Class. Quantum Grav. 15, 2153 (1998).
4. S.S. Gubser, I.R. Klebanov, and A.M. Polyakov, Phys. Lett. B 428, 105 (1998).
5. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
6. O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. 323, 122 (2000).
7. E.S. Fradkin and M.A. Vasiliev, Phys. Lett. B 189, 89 (1987);
8. Nucl. Phys. B291, 141 (1987).
9. M.A. Vasiliev, Phys. Lett. B 243, 378 (1990);
10. M.A. Vasiliev, Phys. Lett. B 285, 225 (1992).
11. M.A. Vasiliev, in Many Faces of the Superworld, edited by M. Shifman (World Scientific, Singapore, 2000).
12. M.A. Vasiliev, Int. J. Mod. Phys. D 5, 763 (1996).
13. C. Aragone and S. Deser, Phys. Lett. 86B, 161 (1979);
14. F.A. Berends, J.W. van Holten, P. van Niewenhuizen, and B. de. Wit, J. Phys. A 13, 1643 (1980);
15. B. de Wit and D.Z. Freedman, Phys. Rev. D 21, 358 (1980).
16. E. Witten (unpublished; see http://theory.caltech.edu/jhs/witten/1.html).
17. Bo Sundborg, Nucl. Phys. B (Proc. Suppl.) 102, 113 (2001).
18. S.E. Konstein, M.A. Vasiliev, and V.N. Zaikin, J. High Energy Phys. 12, 018 (2000).
19. O.V. Shaynkman and M.A. Vasiliev, Teor. Mat. Fiz. 128, 378 (2001)
20. [Theor. Math. Phys. 128, 1155 (2001)].
21. M.A. Vasiliev, Fortschr. Phys. 36, 33 (1988).
22. E.S. Fradkin and M.A. Vasiliev, Dokl. Akad. Nauk SSSR 29, 1100 (1986);
23. Ann. Phys. (N.Y.) 177, 63 (1987).
24. E.S. Fradkin and M.A. Vasiliev, Int. J. Mod. Phys. A 3, 2983 (1989).
25. E.S. Fradkin and V.Ya. Linetsky, Ann. Phys. (N.Y.) 198, 293 (1990).
26. M. Günaydin and N. Marcus, Class. Quantum Grav. 2, L11 (1985);
27. M. Günaydin and N. Marcus, Class. Quantum Grav. 2, L19 (1985).
28. E.S. Fradkin and V.Ya. Linetsky, Ann. Phys. (N.Y.) 198, 252 (1990).
29. E.S. Fradkin and V.Ya. Linetsky, Phys. Lett. B 231, 97 (1989);
30. Nucl. Phys. B350, 274 (1991).
31. E. Sezgin and P. Sundell, J. High Energy Phys. 09, 036 (2001).
32. M.A. Vasiliev, Nucl. Phys. B616, 106 (2001).
33. 5 at the cubic level," hep-th/0206068.
34. S.E. Konstein and M.A. Vasiliev, Nucl. Phys. B331, 475 (1990).
35. M.A. Vasiliev, Nucl. Phys. B301, 26 (1988).
36. M.A. Vasiliev, Phys. Lett. B 363, 51 (1995).
37. R. Gopakumar, S. Minwalla, and A. Strominger, J. High Energy Phys. 05, 20 (2000).
38. I. Bars and M. Günaydin, Commun. Math. Phys. 91, 31 (1983).
39. C. Fronsdal, in Essays on Supersymmetry, Mathematical Physics Studies Vol. 8 (Reidel, Dordrecht, 1986).
40. J. van Holten and A. van Proyen, J. Phys. A15, 3763 (1982).
41. P. d'Auria and R. Fré, Nucl. Phys. B201, 101 (1982).
42. P.K. Townsend, "P-Brane Democracy," hep-th/9507048;
43. "Four Lectures on M Theory," hep-th/9612121.
44. I. Bars, Phys. Rev. D 54, 5203 (1996);
45. Phy. Lett. B 403, 257 (1997).
46. M. Günaydin and D. Minic, Nucl. Phys. B523, 145 (1998).
47. M. Günaydin, Nucl. Phys. B528, 432 (1998).
48. S. Ferrara and M. Porrati, Phys. Lett. B 458, 43 (1999).
49. S. Weinberg, Phys. Lett. 138B, 47 (1984).
50. M. Cederwall, Phys. Lett. B 210, 169 (1988).
51. M. Günaydin, Mod. Phys. Lett. A 15, 1407 (1993).
52. C. Chryssomalakos, J.A. de Azcárraga, J.M. Izquierdo, and J.C. Pérez Bueno, Nucl. Phys. B567, 293 (2000).
53. C. Castro, Found. Phys. 30, 1301 (2000).
54. J.P. Gauntlett, G.W. Gibbons, C.M. Hull, and P. Townsend, Commun. Math. Phys. 216, 431 (2001).
55. B. de Wit and H. Nicolai, Class. Quantum Grav. 15, 3095 (2001).
56. A. Zheltukhin and U. Lindström, Nucl. Phys. B (Proc. Suppl.) 102, 126 (2001).
57. Yu.F. Pirogov, "Symplectic vs Pseudo-Euclidean Space-Time with Extra Dimensions," hep-ph/0105112.
58. Y. Eisenberg and S. Solomon, Nucl. Phys. B309, 709 (1988);
59. Y. Eisenberg and S. Solomon, Nucl. Phys. B220, 562 (1989).
60. I. Rudychev and E. Sezgin, "Superparticles, p- Form Coordinates and the BPS Condition," hep-th/9711128.
61. I. Bandos and j. Lukierski, Mod. Phys. Lett. A 14, 1257 (1999).
62. I. Bandos, J. Lukierski, and D. Sorokin, Phys. Rev. D 61, 045002 (2000).
63. E. Sezgin, Phys. Lett. B 392, 323 (1997).
64. Ch. Devchand and J. Nuyts, "Lorentz Invariance, Higher-Spin Superspaces and Self-Duality," hep-th/9806243.
65. M.A. Vasiliev, Phys. Lett. B 209, 491 (1988).
66. M.A. Vasiliev, Ann. Phys. (N.Y.) 190, 59 (1989).
67. M.A. Vasiliev, Class. Quantum Grav. 11, 649 (1994).
68. O.V. Shaynkman and M.A. Vasiliev, Theor. Math! Phys. 123, 683 (2000).
69. V.E. Lopatin and M.A. Vasiliev, Mod. Phys. Lett. A 3, 257 (1988).
70. R. Penrose, Ann. Phys. (N.Y.) 10, 171 (1960).
71. R. Penrose and W. Rindler, Spinors and Space-Time (Cambridge University Press, Cambridge, England, 1984), Vols. 1, 2.
72. Y. Eisenberg, Phys. Lett. B 225, 95 (1989);
73. "Particle, Super-particle, Superstring and New Approach to Twistor Theory," Report No. WIS-90/62/OCT-PH.
74. G. Mack and A. Salam, Ann. Phys. (N.Y.) 53, 174 (1969);
75. G. Mack, Commun. Math. Phys. 55, 1 (1977).
76. M.A. Vasiliev, "Progress in Higher Spin Gauge Theories," contribution to the proceedings of the international conference "Quantization, Gauge Theory and Strings" in memory of Professor E. Fradkin, Moscow, 2000, hep-th/0104246.
77. R. Penrose, J. Math. Phys. 8, 345 (1967).
78. R. Penrose, Int. J. Theor. Phys. 1, 61 (1968).
79. K.I. Bolotin and M.A. Vasiliev, Phys. Lett. B 479, 421 (2000).
80. M. Günaydin, D. Minic, and M. Zagerman, Nucl. Phys. B544, 737 (1999).
81. L. Castellani, R. D. Auria, and P. Fré, Supergravity Theory: A Geometrical Perspective (World Scientific, Singapore, 1988).
82. S.J. Gates, M.T. Grisaru, M. Rocek, and W. Siegel, Front. Phys. B58, 1 (1983).
83. S.M. Kuzenko and A.G. Sibiryakov, Yad. Fiz. 57, 1326 (1994)
84. [Phys. At. Nucl. 57, 1257 (1994)].
85. S.J. Gates, S.M. Kuzenko, and A.G. Sibiryakov, Phys. Lett. B 394, 343 (1997).
86. M.A. Vasiliev, "Relativity, Causality, Locality, Quantization and Duality in the Sp(2M) Invariant Generalized Space-Time," contributed article in the Memorial Volume, edited by M. Olshanetsky and A. Vainshtein, hep-th/0111119.
87. M. Fierz and W. Pauli, Proc. R. Soc. London A173, 211 (1939).
88. L. Brink, P. di Vecchia, and P. Howe, Phys. Lett. 65B, 369 (1976).
89. R. Casalbuoni, Nuovo Cimento Soc. Ital. Fis., A 33, 389 (1976).
90. F.A. Berezin and M.S. Marinov, Ann. Phys. (N.Y.) 104, 336 (1977).
91. L. Brink and J. Schwarz, Phys. Lett. 100B, 310 (1981).
92. A. Ferber, Nucl. Phys. B132, 55 (1978).
93. T. Shirafuji, Prog. Theor. Phys. 70, 18 (1983).
94. A.K.H. Bengtsson, I. Bengtsson, M. Cederwall, and N. Linden, Phys. Rev. D 36, 1766 (1987).
95. I. Bengtsson and M. Cederwall, Nucl. Phys. B302, 81 (1988).
96. D.P. Sorokin, V.I. Tkach, and D.V. Volkov, Mod. Phys. Lett. A4, 901 (1989).
97. P. Townsend, Phys. Lett. B 261, 65 (1991).
98. S. Fedoruk and V. Zima, Nucl. Phys. B (Proc. Suppl.) 102, 233 (2001).
99. I. Bars, C. Deliduman, and D. Minic, Phys. Lett. B 457, 275 (1999);
100. I. Bars, C. Deliduman, and D. Minic, Phys. Lett. B 466, 135 (1999).
101. I. Bars, Phys. Lett. B 483, 248 (2000).
102. I. Bandos, J. Lukierski, C. Preitschopf, and D. Sorokin, Phys. Rev. D 61, 065009 (2000).
103. E. Witten, Nucl. Phys. B268, 253 (1986).
104. M. Flato and C. Fronsdal, Lett. Math. Phys. 2, 421 (1978).
105. S. Ferrara and C. Fronsdal, Phys. Lett. B 433, 19 (1998).
106. M. Günaydin, in Proceedings of the Trieste Conference Supermembranes and Physics in 2+1 Dimensions, Trieste, Italy, 1989, edited by M. Duff, C. Pope, and E. Sezgin (World Scientific, Singapore, 1990).
107. K. Alkalaev, Phys. Lett. B 519, 121 (2001).
108. L. Brink, R.R. Metsaev, and M.A. Vasiliev, Nucl. Phys. B586, 183 (2000).
109. J.M.F. Labastida, Nucl. Phys. B322, 185 (1989).
110. C. Burdik, A. Pashnev, and M. Tsulaia, Mod. Phys. Lett. A 16, 731 (2001).
111. E. Sezgin and P. Sundell, J. High Energy Phys. 01, 025 (2001).
112. R.R. Metsaev, Phys. Lett. B 531, 152 (2002).
113. T. Biswas and W. Siegel, J. High Energy Phys. 07, 005 (2002).
114. R.R. Metsaev, Phys. Lett. B 354, 78 (1995);
115. talk given at the Dubna International Seminar "Supersymmetries and Quantum Symmetries" dedicated to the memory of Victor I. Ogievetsky, Dubna, 1997, hep-th/9802047.
116. S. Ferrara and C. Fronsdal, "Conformal Fields in Higher Dimensions," hep-th/0006009.
117. K. Skenderis and M. Henningson, J. High Energy Phys. 98, 023 (1998).
118. M.A. Vasiliev, Mod. Phys. Lett. A 7, 3689 (1992).
119. D. Anselmi, Nucl. Phys. B541, 369 (1999);
120. D. Anselmi, Nucl. Phys. B554, 415 (1999);
121. Class. Quantum Grav. 17, 2847 (2000).