From very-extended to overextended gravity and M-theories

Journal of High Energy Physics

Volumn , Issue 2, 2005, Pages 1705-1725

  Englert, François ^a,b   Henneaux, Marc ^b,c   Houart, Laurent ^a,b,c  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b INTERNATIONAL SOLVAY INSTITUTES   (Belgium)

^c FNRS   (Belgium)

Author keywords

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

Indexed keywords

EID: 22144441358     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/02/070     Document Type: Article

References (34)

1. E. Cremmer, B. Julia, H. Lu and C.N. Pope, Higher-dimensional origin of D = 3 coset symmetries., hep-th/9909099.
2. 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].
3. 11 and M-theory, Class, and Quant. Grav. 18 (2001) 4443 [hep-th/0104081].
4. N.D. Lambert and P.C. West, Coset symmetries in dimensionally reduced bosonic string theory, Nucl. Phys. B 615 (2001) 117 [hep-th/0107209].
5. F. Englert, L. Houart, A. Taormina and P. West, The symmetry of M-theories, J. High Energy Phys. 09 (2003) 020 [hep-th/0304206].
6. T. Damour, M. Henneaux and H. Nicolai, Cosmological billiards, Class, and Quant. Grav. 20 (2003) R145 [hep-th/0212256].
7. 10 and arithmetical chaos in superstring cosmology, Phys. Rev. Lett. 86 (2001) 4749 [hep-th/0012172];
8. 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].
9. 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].
10. 10 and a 'small tension expansion' of M-theory, Phys. Rev. Lett. 89 (2002) 221601 [hep-th/0207267].
11. F. Englert and L. Houart, G+++ invariant formulation of gravity and M-theories: exact BPS solutions, J. High Energy Phys. 01 (2004) 002 [hep-th/0311255].
12. 9, levels, hep-th/0410245.
13. 10, hep-th/0411225.
14. 8 at low levels, gravity and supergravity, Class, and Quant. Grav. 20 (2003) 2393 [hep-th/0212291].
15. 11, hep-th/0301017.
16. 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].
17. B. Julia, Kac-Moody Symmetry of gravitation and supergravity Theories, Proc. AMS-SIAM Chicago meeting July 1982, Lecture in Applied Mathematics 21 (1985) 355;
18. Group disintegrations, in Superspace and supergravity S.W. Hawking and M. Rocek eds., Cambridge University Press, Cambridge 1981.
19. 11; sign of the times, Nucl. Phys. B 697 (2004) 302 [hep-th/0402090].
20. A. Keurentjes, Time-like T-duality algebra, J. High Energy Phys. 11 (2004) 034 [hep-th/0404174].
21. F. Englert and L. Houart, G+++ invariant formulation of gravity and m-theories: exact intersecting brane solutions, J. High Energy Phys. 05 (2004) 059 [hep-th/0405082].
22. R. Argurio, F. Englert and L. Houart, Intersection rules for p-branes, Phys. Lett. B 398 (1997) 61 [hep-th/9701042].
23. R. Argurio and L. Houart, On the exotic phases of M-theory, Phys. Lett. B 450 (1999) 109 [hep-th/9810180].
24. 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];
25. C.M. Hull and R.R. Khuri, Branes, times and dualities, Nucl. Phys. B 536 (1998) 219 [hep-th/9808069].
26. C.M. Hull, Duality and the signature of space-time, J. High Energy Phys. 11 (1998) 017 [hep-th/9807127].
27. C.M. Hull and B. Julia, Duality and moduli spaces for time-like reductions, Nucl. Phys. B 534 (1998) 250 [hep-th/9803239];
28. E. Cremmer et al., Euclidean-signature supergravities, dualities and instantons, Nucl. Phys. B 534 (1998) 40 [hep-th/9803259].
29. A. Kleinschmidt and P. West, Representations of G+++ and the role of space-time, J. High Energy Phys. 02 (2004) 033 [hep-th/0312247].
30. d, Nucl. Phys. B 509 (1998) 122 [hep-th/9707217];
31. N.A. Obers and B. Pioline, U-duality and M-theory, an algebraic approach, hep-th/9812139.
32. T. Banks, W. Fischler and L. Motl, Dualities versus singularities, J. High Energy Phys. 01 (1999) 019 [hep-th/9811194].
33. T.H. Buschcr, A symmetry of the string background field equations, Phys. Lett. B 104 (1987) 59;
34. Path integral derivation of quantum duality in nonlinear sigma models, Phys. Lett. B 201 (1988) 466.