The symmetry of M-theories

Journal of High Energy Physics

Volumn 7, Issue 9, 2003, Pages 425-463

  Englert, François ^a   Houart, Laurent ^a,d   Taormina, Anne ^b   West, Peter ^c  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b DURHAM UNIVERSITY   (United Kingdom)

^c KING'S COLLEGE LONDON   (United Kingdom)

^d FNRS   (Belgium)

Author keywords

Classical Theories of Gravity; M Theory; Space Time Symmetries; String Duality

Indexed keywords

EID: 23144466915     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/09/020     Document Type: Article

References (80)

1. I.C.G. Campbell and P.C. West, N = 2 D = 10 nonchiral supergravity and its spontaneous compactification, Nucl. Phys. B 243 (1984) 112.
2. M. Huq and M.A. Namazie, Kaluza-Klein supergravity in ten-dimensions, Class. and Quant. Grav. 2 (1985) 293.
3. F. Giani and M. Pernici, N = 2 supergravity in ten-dimensions, Phys. Rev. D 30 (1984) 325.
4. J.H. Schwarz and P.C. West, Symmetries and transformations of chiral N = 2 D = 10 supergravity, Phys. Lett. B 126 (1983) 301.
5. P.S. Howe and P.C. West, The complete N = 2, D = 10 supergravity, Nucl. Phys. B 238 (1984) 181.
6. J.H. Schwarz, Covariant field equations of chiral N = 2 D = 10 supergravity, Nucl. Phys. B 226 (1983) 269.
7. L. Brink, J.H. Schwarz and J. Scherk, Supersymmetric Yang-Mills theories, Nucl. Phys. B 121 (1977) 77;
8. F. Gliozzi, J. Scherk and D.I. Olive, Supersymmetry, supergravity theories and the dual spinor model, Nucl. Phys. B 122 (1977) 253;
9. A.H. Chamseddine, Interacting supergravity in ten-dimensions: the role of the six-index gauge field, Phys. Rev. D 24 (1981) 3065;
10. E. Bergshoeff, M. de Roo, B. de Wit and P. van Nieuwenhuizen, Ten-dimensional Maxwell-Einstein supergravity, its currents and the issue of its auxiliary fields, Nucl. Phys. B 195 (1982) 97;
11. E. Bergshoeff, M. de Roo and B. de Wit, Conformal supergravity in ten dimensions, Nucl. Phys. B 217 (1983) 489;
12. G.F. Chapline and N.S. Manton, Unification of Yang-Mills theory and supergravity in tendimensions, Phys. Lett. B 120 (1983) 105.
13. E. Cremmer, B. Julia and J. Scherk, Supergravity theory in 11 dimensions, Phys. Lett. B 76 (1978) 409.
14. P.K. Townsend, The eleven-dimensional supermembrane revisited, Phys. Lett. B 350 (1995) 184 [hep-th/9501068];
15. D-branes from m-branes, Phys. Lett. B 373 (1996) 68 [hep-th/9512062].
16. E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124].
17. P.C. West, Hidden superconformal symmetry in M-theory, J. High Energy Phys. 08 (2000) 007 [hep-th/0005270].
18. 11 and M-theory, Class. and Quant. Grav. 18 (2001) 4443 [hep-th/0104081].
19. N.D. Lambert and P.C. West, Coset symmetries in dimensionally reduced bosonic string theory, Nucl. Phys. B 615 (2001) 117 [hep-th/0107209].
20. P. Goddard and D. Olive, Algebras, lattices and strings, in Vertex operators in Mathematics and Physics, MSRI Publication no 3, Springer, Berlin 1984, p. 51.
21. M.R. Gaberdiel, D.I. Olive and P.C. West, A class of lorentzian Kac-Moody algebras, Nucl. Phys. B 645 (2002) 403 [hep-th/0205068].
22. T. Damour, M. Henneaux and H. Nicolai, Cosmological billiards, Class. and Quant. Grav. 20 (2003) R145 [hep-th/0212256].
23. E. Cremmer, B. Julia, H. Lu and C.N. Pope, Higher-dimensional origin of D = 3 coset symmetries, hep-th/9909099.
24. N. Marcus and J. Schwarz, Three-dimensional supergravity theories, Nucl. Phys. B 228 (1983) 145.
25. T. Damour, S. de Buyl, M. Henneaux and C. Schomblond, Einstein billiards and overextensions of finite-dimensional simple Lie algebras, J. High Energy Phys. 08 (2002) 030 [hep-th/0206125].
26. S. Ferrara, J. Scherk and B. Zumino, Algebraic properties of extended supergravity theories, Nucl. Phys. B 121 (1977) 393;
27. E. Cremmer, J. Scherk and S. Ferrara, SU(4) invariant supergravity theory, Phys. Lett. B 74 (1978) 61.
28. E. Cremmer and B. Julia, The N = 8 supergravity theory, 1. The lagrangian, Phys. Lett. B 80 (1978) 48.
29. B. Julia, Group disintegrations, in Superspace and supergravity, S.W. Hawking and M. Roček eds., Cambridge University Press Cambridge 1981, p. 331.
30. B.L. Julia, Dualities in the classical supergravity limits: dualisations, dualities and a detour via 4k+2 dimensions, hep-th/9805083.
31. H. Nicolai, The integrabiliity of N = 16 supergravity, Phys. Lett. B 194 (1987) 402;
32. On M-theory, hep-th/9801090.
33. B. Julia, Supergravity and Kac-Moody algebras, in Vertex operators in mathematics and physics, Publications of the Mathematical Sciences Research Institute 3, Springer Verlag, Berlin 1984;
34. Group disintegrations, in Superspace and supergravity S.W. Hawking and M. Roček eds., Cambridge University Press, Cambridge 1981.
35. K. Kikkawa and M. Yamasaki, Casimir effects in superstring theories, Phys. Lett. B 149 (1984) 357;
36. N. Sakai and I. Senda, Vacuum energies of string compactified on torus, Prog. Theor. Phys. 75 (1986) 692;
37. T.H. Buscher, A symmetry of the string background field equations, Phys. Lett. B 194 (1987) 59;
38. Path integral derivation of quantum duality in nonlinear sigma models, Phys. Lett. B 201 (1988) 466.
39. M. Roček and E. Verlinde, Duality, quotients and currents, Nucl. Phys. B 373 (1992) 630 [hep-th/9110053].
40. A. Font, L.E. Ibáñez, D. Lust and F. Quevedo, Strong-weak coupling duality and nonperturbative effects in string theory, Phys. Lett. B 249 (1990) 35;
41. S.-J. Rey, The confining phase of superstrings and axionic strings, Phys. Rev. D 43 (1991) 526.
42. C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167].
43. d, Nucl. Phys. B 509 (1998) 122 [hep-th/9707217].
44. N.A. Obers and B. Pioline, U-duality and M-theory, an algebraic approach, hep-th/9812139.
45. T. Banks, W. Fischler and L. Motl, Dualities versus singularities, J. High Energy Phys. 01 (1999) 019 [hep-th/9811194].
46. G.W. Moore, Finite in all directions, hep-th/9305139;
47. P.C. West, Physical states and string symmetries, Mod. Phys. Lett. A 10 (1995) 761 [hep-th/9411029].
48. J.A. Harvey and G.W. Moore, Algebras, BPS states and strings, Nucl. Phys. B 463 (1996) 315 [hep-th/9510182];
49. Exact gravitational threshold correction in the fhsv model, Phys. Rev. D 57 (1998) 2329 [hep-th/9611176].
50. B. de Wit and H. Nicolai, D = 11 supergravity with local SU(8) invariance, Nucl. Phys. B 274 (1986) 363;
51. Hidden symmetry in D = 11 supergravity, Phys. Lett. B 155 (1985) 47;
52. H. Nicolai, D = 11 supergravity with local SO(16) invariance, Phys. Lett. B 187 (1987) 316.
53. S. Melosch and H. Nicolai, New canonical variables for D = 11 supergravity, Phys. Lett. B 416 (1998) 91 [hep-th/9709227];
54. K. Koepsell, H. Nicolai and H. Samtleben, An exceptional geometry for D = 11 supergravity?, Class. and Quant. Grav. 17 (2000) 3689 [hep-th/0006034];
55. B. de Wit and H. Nicolai, Hidden symmetries, central charges and all that, Class, and Quant. Grav. 18 (2001) 3095 [hep-th/0011239].
56. E. Cremmer, B. Julia, H. Lu and C.N. Pope, Dualisation of dualities, II. Twisted self-duality of doubled fields and superdualities, Nucl. Phys. B 535 (1998) 242 [hep-th/9806106].
57. T. Damour and M. Henneaux, Chaos in superstring cosmology, Phys. Rev. Lett. 85 (2000) 920 [hep-th/0003139];
58. 10 and arithmetical chaos in superstring cosmology, Phys. Rev. Lett. 86 (2001) 4749 [hep-th/0012172].
59. T. Damour, M. Henneaux, B. Julia and H. Nicolai, Hyperbolic Kac-Moody algebras and chaos in Kaluza-Klein models, Phys. Lett. B 509 (2001) 323 [hep-th/0103094].
60. I. Schnakenburg and P.C. West, Kac-Moody symmetries of IIB supergravity, Phys. Lett. B 517 (2001) 421 [hep-th/0107181].
61. 10 and a 'small tension expansion' of M-theory, Phys. Rev. Lett. 89 (2002) 221601 [hep-th/0207267].
62. P. Henry-Labordere, B. Julia and L. Paulot, Borcherds symmetries in M-theory, J. High Energy Phys. 04 (2002) 049 [hep-th/0203070].
63. A. Casher, F. Englert, H. Nicolai and A. Taormina, Consistent superstrings as solutions of the D = 26 bosonic string theory, Phys. Lett. B 162 (1985) 121;
64. F. Englert, H. Nicolai and A. Schellekens, Superstrings from twentysix-dimensions, Nucl. Phys. B 274 (1986) 315.
65. F. Englert, L. Houart and A. Taormina, Brane fusion in the bosonic string and the emergence of fermionic strings, J. High Energy Phys. 08 (2001) 013 [hep-th/0106235];
66. A. Chattaraputi, F. Englert, L. Houart and A. Taormina, The bosonic mother of fermionic D-branes, J. High Energy Phys. 09 (2002) 037 [hep-th/0207238].
67. A. Borisov and V. Ogievetsky, Theory of dynamical affine and conformal symmetries as the theory of the gravitational field, Teor. Mat. Fiz. 21 (1974) 329.
68. V. Kac, Infinite dimensional Lie algebras, Birkhauser, Boston 1983
69. E.S. Fradkin and A.A. Tseytlin, Quantum string theory effective action, Nucl. Phys. B 261 (1985) 1;
70. Effective field theory from quantized strings, Phys. Lett. B 158 (1985) 316.
71. 8 at low levels, gravity and supergravity, Class, and Quant. Grav. 20 (2003) 2393 [hep-th/0212291].
72. L. Landau and E. Lifschitz, Théorie du champ, (Traduit du russe par E. Gloukhian), Edition de la Paix, Moscou, section 11, p. 410.
73. A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rept. 244 (1994) 77 [hep-th/9401139].
74. M. Dine, P.Y. Huet and N. Seiberg, Large and small radius in string theory, Nucl. Phys. B 322 (1989) 301;
75. J. Dai, R.G. Leigh and J. Polchinski, New connections between string theories, Mod. Phys. Lett. A 4 (1989) 2073;
76. E. Bergshoeff, C.M. Hull and T. Ortin, Duality in the type-II superstring effective action, Nucl. Phys. B 451 (1995) 547 [hep-th/9504081].
77. B. Julia, Kac-Moody symmetry of gravitation and supergravity theories, Lectures in Applied Mathematics, 21 (1985) 335;
78. A. Sen, Strong - weak coupling duality in four-dimensional string theory, Int. J. Mod. Phys. A 9 (1994) 3707 [hep-th/9402002];
79. Strong-weak coupling duality in three-dimensional string theory, Nucl. Phys. B 434 (1995) 179 [hep-th/9408083].
80. M.R. Gaberdiel and P.C. West, Kac-Moody algebras in perturbative string theory, J. High Energy Phys. 08 (2002) 049 [hep-th/0207032].