Time-like T-duality algebra

Journal of High Energy Physics

Volumn 8, Issue 11, 2004, Pages 923-957

  Keurentjes, Arjan ^a  

^a INTERNATIONAL SOLVAY INSTITUTES   (Belgium)

Author keywords

M Theory; Space Time Symmetries; String Duality

Indexed keywords

EID: 22144489503     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/11/034     Document Type: Article

References (38)

1. C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167].
2. E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124].
3. C.M. Hull, Timelike t-duality, de Sitter space, large-N gauge theories and topological field theory, J. High Energy Phys. 07 (1998) 021 [hep-th/9806146].
4. C.M. Hull, Duality and the signature of space-time, J. High Energy Phys. 11 (1998) 017 [hep-th/9807127].
5. C.M. Hull and R.R. Khuri, Branes, times and dualities, Nucl. Phys. B 536 (1998) 219 [hep-th/9808069].
6. E. Cremmer, B. Julia and J. Scherk, Supergravity theory in 11 dimensions, Phys. Lett. B 76 (1978) 409.
7. E. Cremmer and B. Julia, The N = 8 supergravity theory, 1. The lagrangian, Phys. Lett. B 80 (1978) 48;
8. The SO(8) supergravity, Nucl. Phys. B 159 (1979) 141
9. . [8] B. Julia, Group disintegrations, in C80-06-22.1.2 LPTENS 80/16 Invited paper presented at Nuffield Gravity Workshop, Cambridge Jun 22-Jul 12, 1980.
10. B. Julia, Kac-Moody symmetry of gravitation and supergravity theories, LPTENS 82/22 invited talk given at AMS-SIAM Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, Chicago Jul 6-16, 1982.
11. E. Cremmer, B. Julia, H. Lu and C.N. Pope, Dualisation of dualities, I, Nucl. Phys. B 523 (1998) 73 [hep-th/9710119].
12. N.A. Obers and B. Pioline, U-duality and M-theory, Phys. Rept. 318 (1999) 113 [hep-th/9809039].
13. H. Nicolai, The integrability of N = 16 supergravity, Phys. Lett. B 194 (1987) 402.
14. H. Nicolai and N.P. Warner, The structure of N = 16 supergravity in two-dimensions, Commun. Math. Phys. 125 (1989) 369.
15. H. Nicolai and H. Samtleben, Integrability and canonical structure of D = 2, N = 16 supergravity, Nucl. Phys. B 533 (1998) 210 [hep-th/9804152].
16. 10 and a 'small tension expansion' of M-theory, Phys. Rev. Lett. 89 (2002) 221601 [hep-th/0207267].
17. C.M. Hull and B. Julia, Duality and moduli spaces for time-like reductions, Nucl. Phys. B 534 (1998) 250 [hep-th/9803239].
18. E. Cremmer et al., Euclidean-signature supergravities, dualities and instantons, Nucl. Phys. B 534 (1998) 40 [hep-th/9803259].
19. 11: sign of the times, Nucl. Phys. B 697 (2004) 302 [hep-th/0402090].
20. 11 and M-theory, Class. and Quant. Grav. 18 (2001) 4443 [hep-th/0104081].
21. E. Cremmer, B. Julia, H. Lu and C.N. Pope, Higher-dimensional origin of D = 3 coset symmetries, hep-th/9909099.
22. A. Keurentjes, The group theory of oxidation, Nucl. Phys. B 658 (2003) 303 [hep-th/0210178].
23. A. Keurentjes, The group theory of oxidation, ii: cosets of non-split groups, Nucl. Phys. B 658 (2003) 348 [hep-th/0212024].
24. V.G. Kac, Infinite dimensional Lie algebras, Cambridge University Press, Cambridge 1990.
25. +++ invariant formulation of gravity and M-theories: exact BPS solutions, J. High Energy Phys. 01 (2004) 002 [hep-th/0311255].
26. S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press, New York 1978.
27. P. Breitenlohner, D. Maison and G.W. Gibbons, Four-dimensional black holes from Kaluza-Klein theories, Commun. Math. Phys. 120 (1988) 295.
28. A. Keurentjes, U-duality (sub-)groups and their topology, Class. Quant. Grav. 21 (2004) S1367-1374 [hep-th/0312134].
29. 11, hep-th/0301017.
30. T. Damour, M. Henneaux and H. Nicolai, Cosmological billiards, Class. and Quant. Grav. 20 (2003) R145 [hep-th/0212256].
31. 10: billiards, branes and imaginary roots, J. High Energy Phys. 08 (2004) 063 [hep-th/0401053].
32. 8 at low levels, gravity and supergravity, Class. and Quant. Grav. 20 (2003) 2393 [hep-th/0212291].
33. 11 and spheric vacuum solutions of eleven and ten dimensional supergravity theories, J. High Energy Phys. 05 (2004) 003 [hep-th/0312096].
34. M.J. Duff and J.T. Liu, Hidden spacetime symmetries and generalized holonomy in M-theory, Nucl. Phys. B 674 (2003) 217 [hep-th/0303140].
35. C. Hull, Holonomy and symmetry in M-theory, hep-th/0305039.
36. M. Günaydin, G. Sierra and P.K. Townsend, Exceptional supergravity theories and the magic square, Phys. Lett. B 133 (1983) 72.
37. A. Kleinschmidt, I. Schnakenburg and P. West, Very-extended Kac-Moody algebras and their interpretation at low levels, Class. and Quant. Grav. 21 (2004) 2493 [hep-th/0309198].
38. I. Schnakenburg and P.C. West, Kac-Moody symmetries of IIB supergravity, Phys. Lett. B 517 (2001) 421 [hep-th/0107181].