Unitary supermultiplets of OSp(1/32, ℝ) and M-theory

Nuclear Physics B

Volumn 528, Issue 1-2, 1998, Pages 432-450

  Gunaydin M ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032517020     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00393-9     Document Type: Article

References (74)

1. [1] J. Maldacena, hep-th/9711200.
2. [2] M. Günaydin and D. Minic, Singletons, Doubletons and M-Theory, hep-th/9702047.
3. [3] S. Ferrara and C. Fronsdal, hep-th/9712239, hep-th/9802126.
4. [4] R. Kallosh, J. Kunar and A. Rajaraman, hep-th/9712073.
5. [5] A. Strominger, hep-th/9712251; D. Birmingham, I. Sachs and S. Sen, hep-th/9801019; D. Birmingham, hep-th/9801145.
6. [5] A. Strominger, hep-th/9712251; D. Birmingham, I. Sachs and S. Sen, hep-th/9801019; D. Birmingham, hep-th/9801145.
7. [5] A. Strominger, hep-th/9712251; D. Birmingham, I. Sachs and S. Sen, hep-th/9801019; D. Birmingham, hep-th/9801145.
8. [6] K. Behrndt, hep-th/9801058.
9. [7] H. Jan Boonstra, B. Peeters and K. Skenderis, hep-th/9801076.
10. [8] P. Claus, R. Kallosh, J. Kumar, P.K. Townsend and A. van Proeyen, hep-th/9801206.
11. [9] E. Witten, hep-th/9802150.
12. [10] N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, hep-th/9802042.
13. [11] G.T. Horowitz and H. Ooguri, hep-th/9802116.
14. [12] S.S. Gubser, I.R. Klebanov and A.M. Polyakov, hep-th/9802109.
15. [13] S. Ferrara, C. Fronsdal and A. Zaffaroni, hep-th/9802203.
16. [14] S.J. Rey and J. Yee, hep-th/9803001.
17. [15] J.M. Maldacena, hep-th/9803002.
18. [16] I. Ya. Arefeva and I.V. Volovich, hep-th/9803028.
19. [17] O. Aharony, Y. Oz and Z. Yin, hep-th/9803051.
20. [18] S. Minwalla, hep-th/9803053.
21. [19] S. Kachru and E. Silverstein, hep-th/9802183.
22. [20] M. Berkooz, hep-th/9802195.
23. [21] A. Lawrence, N. Nekrasov and C. Vafa, hep-th/9803015.
24. [22] M.J. Duff, H. Lu and C.N. Pope, hep-th/9803061.
25. [23] E. Halyo, hep-th/9803077.
26. [24] J. Gomis, hep-th/9803119.
27. [25] M. Günaydin and N.P. Warner, Nucl. Phys. B 272 (1986) 99.
28. [26] M. Günaydin, P. van Nieuwenhuizen and N.P. Warner, Nucl: Phys. B 255 (1985) 63.
29. [27] K. Pilch, P.K. Townsend and P. van Nieuwenhuizen, Nucl. Phys. B 242 (1984) 377.
30. [28] M. Günaydin and N. Marcus, Class. Quantum Gravity 2 (1985) L11.
31. [29] H.J. Kim, L.J. Romans and P. van Nieuwenhuizen. Phys. Rev. D 32 (1985) 389.
32. [30] M. Günaydin and N. Marcus, Class. Quant. Grav. 2 (1985) L19.
33. [31] P. Horava, hep-th/9712130.
34. [32] I would like to thank P. Horava for a discussion on this point.
35. [33] Harish-Chandra, Am. J. Math. 77 (955) 743; 78 (1956) 1.
36. [33] Harish-Chandra, Am. J. Math. 77 (955) 743; 78 (1956) 1.
37. [34] M. Günaydin and C. Saclioglu, Comm. Math. Phys., 87 (1982) 159; Phys. Lett. B 108 (1982) 180.
38. [34] M. Günaydin and C. Saclioglu, Comm. Math. Phys., 87 (1982) 159; Phys. Lett. B 108 (1982) 180.
39. [35] I. Bars and M. Günaydin, Comm. Math. Phys., 91 (1983) 21.
40. [36] M. Günaydin and S.J. Hyun, J. Math. Phys. 29 (1988) 2367.
41. [37] M. Günaydin, Nucl. Phys. B 6 (Proc. Suppl.) (1989) p. 140.
42. [38] M. Günaydin and R. Scalise, J. Math. Phys. 32 (1991) 599.
43. [39] P.A.M. Dirac, J. Math. Phys. 4 (1963) 901.
44. [40] M. Günaydin, in Proc. of the Trieste conference, Supermembranes and Physics in 2 + 1 dimensions, ed. M.J. Duff, C.N. Pope and E. Sezgin (World Scientific, Singapore, 1990) p. 442.
45. [41] M. Günaydin, G. Sierra and P.K. Townsend, Nucl. Phys. B 274 (1986) 429.
46. [42] M. Günaydin, J. Math. Phys. 29 (1988) 1275.
47. [43] C. Fronsdal, Phys. Rev. D 12 (1975) 3819; M. Flato and C. Fronsdal, Lett. Math. Phys. 2 (1978) 421.
48. [43] C. Fronsdal, Phys. Rev. D 12 (1975) 3819; M. Flato and C. Fronsdal, Lett. Math. Phys. 2 (1978) 421.
49. [44] M. Günaydin, Oscillator-like Unitary Representations of Non-compact Groups and Supergroups and Extended Supergravity Theories, expanded version of the invited talk given in Group Theoretical Methods in Physics, Istanbul, 1982, Ecole Normale Superieure preprint LPTENS 83/5 and in Lecture Notes in Physics Vol. 180 (1983), ed. E. Inönü and M. Serdaroglu.
50. [45] J.W. van Holten and A. van Proeyen, J. Phys. A15 (1982) 3763.
51. [46] R. D'Auria and P. Fré, Nucl. Phys. B 201 (1982) 101; L. Castellani, R. D'Auria and P. Fré, Supergravity and Superstrings: A Geometric Perspective (World Scientific, Singapore, 1991).
52. [46] R. D'Auria and P. Fré, Nucl. Phys. B 201 (1982) 101; L. Castellani, R. D'Auria and P. Fré, Supergravity and Superstrings: A Geometric Perspective (World Scientific, Singapore, 1991).
53. [47] P.K. Townsend, hep-th/9507048; hep-th/9612121; hep-th/9708034.
54. [48] M. Günaydin, Nuovo Cimento A 29 (1975) 467; Ann. Israel Physical Society 3 (1980) 279; in: Elementary Particles and the Universe: Essays in Honor of Murray Gell-Mann, ed. J.H. Schwarz (Cambridge University Press, Cambridge, 1991).
55. [48] M. Günaydin, Nuovo Cimento A 29 (1975) 467; Ann. Israel Physical Society 3 (1980) 279; in: Elementary Particles and the Universe: Essays in Honor of Murray Gell-Mann, ed. J.H. Schwarz (Cambridge University Press, Cambridge, 1991).
56. [48] M. Günaydin, Nuovo Cimento A 29 (1975) 467; Ann. Israel Physical Society 3 (1980) 279; in: Elementary Particles and the Universe: Essays in Honor of Murray Gell-Mann, ed. J.H. Schwarz (Cambridge University Press, Cambridge, 1991).
57. [49] A. Salam and E. Sezgin, Supergravities in Diverse Dimensions (North Holland/World Scientific, 1989).
58. [50] P. Horava and E. Witten, Nucl. Phys. Nucl. Phys. B 475 (1996) 94, hep-th/9603142.
59. [51] A. Achucarro and P.K. Townsend, Phys. Lett. B 180 (1986) 89; B 229 (1989) 383.
60. [51] A. Achucarro and P.K. Townsend, Phys. Lett. B 180 (1986) 89; B 229 (1989) 383.
61. [52] E. Witten, Nucl. Phys. B 311 (1988)46.
62. [53] E. Cremmer, B. Julia and J. Scherk, Phys. Lett. B 76 (1978) 409.
63. [54] E. Bergshoeff, M. De Roo and B. De Wit, Nucl. Phys. B 217(1983) 489.
64. [55] See K. Bautier, S. Deser, M. Henneaux and D. Seminara, hep-th/9704131 and the references therein.
65. [56] A.H. Chamseddine, Phys. Lett. B 233 (1989) 291; Nucl. Phys. B 346 (1990) 213.
66. [56] A.H. Chamseddine, Phys. Lett. B 233 (1989) 291; Nucl. Phys. B 346 (1990) 213.
67. [57] M. Banados, R. Troncoso and J. Zanelli, Phys. Rev. D54 (1996) 2605; R. Troncoso and J. Zanelli, hep-th/9710180.
68. [57] M. Banados, R. Troncoso and J. Zanelli, Phys. Rev. D54 (1996) 2605; R. Troncoso and J. Zanelli, hep-th/9710180.
69. [58] I would like to thank R. Troncoso for an e-mail communication pointing out this fact as well as bringing the work of Refs. [57] to my attention.
70. [59] G. 't Hooft, Dimensional Reduction in Quantum Gravity, in: Salamfest 1993 p. 284, gr-qc/9310026.
71. [60] L. Susskind, J. Math. Physics 36 (1995) 6377.
72. [61] I. Bars, Phys. Rev. D55 (1997) 2373 hep-th/9607112; Phys. Lett. B 403 (1997) 257, hep-th/9704154.
73. [61] I. Bars, Phys. Rev. D55 (1997) 2373 hep-th/9607112; Phys. Lett. B 403 (1997) 257, hep-th/9704154.
74. [62] M. Günaydin, work in progress.