E10 symmetry in one-dimensional supergravity

Nuclear Physics B

Volumn 528, Issue 1-2, 1998, Pages 238-264

  Mizoguchi, Shun'ya ^a  

^a INSTITUTE OF PARTICLE AND NUCLEAR STUDIES   (Japan)

Author keywords

E10; Hidden symmetry; Null reduction; Supergravity

Indexed keywords

EID: 0032517031     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00322-8     Document Type: Article

References (32)

1. [1] A. Font, L.E. Ibanez, D. Lust and F. Quevedo, Phys. Lett, B 249 (1990) 35; S.J. Rey, Phys. Rev. D 43 (1991) 526; A. Sen, Int. J. Mod. Phys. A 9 (1994) 3707; J.H. Schwarz, String theory symmetries, International Workshop on Planck Scale Physics, Puri (1994), hep-th/9503127.
2. [1] A. Font, L.E. Ibanez, D. Lust and F. Quevedo, Phys. Lett, B 249 (1990) 35; S.J. Rey, Phys. Rev. D 43 (1991) 526; A. Sen, Int. J. Mod. Phys. A 9 (1994) 3707; J.H. Schwarz, String theory symmetries, International Workshop on Planck Scale Physics, Puri (1994), hep-th/9503127.
3. [1] A. Font, L.E. Ibanez, D. Lust and F. Quevedo, Phys. Lett, B 249 (1990) 35; S.J. Rey, Phys. Rev. D 43 (1991) 526; A. Sen, Int. J. Mod. Phys. A 9 (1994) 3707; J.H. Schwarz, String theory symmetries, International Workshop on Planck Scale Physics, Puri (1994), hep-th/9503127.
4. [1] A. Font, L.E. Ibanez, D. Lust and F. Quevedo, Phys. Lett, B 249 (1990) 35; S.J. Rey, Phys. Rev. D 43 (1991) 526; A. Sen, Int. J. Mod. Phys. A 9 (1994) 3707; J.H. Schwarz, String theory symmetries, International Workshop on Planck Scale Physics, Puri (1994), hep-th/9503127.
5. [2] A. Giveon, M. Porrati and E. Rabinovici, Phys. Rep. 244 (1994) 77; E. Alvarez, L. Alvarez-Gaume and Y. Lozano, An introduction to T duality in string theory, Trieste Spring School, Trieste (1994), hep-th/9410237.
6. [2] A. Giveon, M. Porrati and E. Rabinovici, Phys. Rep. 244 (1994) 77; E. Alvarez, L. Alvarez-Gaume and Y. Lozano, An introduction to T duality in string theory, Trieste Spring School, Trieste (1994), hep-th/9410237.
7. [3] C.M. Hull and P.K. Townsend, Nucl. Phys. B 438 (1995) 109.
8. [4] E. Cremmer, B. Julia and J. Scherk, Phys. Lett. B 76 (1978) 409.
9. [5] E. Cremmer and B. Julia, Nucl. Phys. B 159 (1979) 141.
10. [6] B. Julia, Group disintegrations, Nuffield Gravity Workshop, Cambridge (1980).
11. [7] B. Julia, Application of supergravity to gravitation theory, Int. School of Cosmology and Gravitation, Erice (1982).
12. [8] N. Marcus and J.H. Schwarz, Nucl. Phys. B 228 (1983) 145.
13. [9] P. Breitentohner and D. Maison, Ann. Inst. Henri Poincaré 46 (1987) 216.
14. [10] H. Nicolai, Phys. Lett. B 194 (1987) 402; H. Nicolai and N.P. Warner, Commun. Math. Phys. 125 (1989) 384; H. Nicolai, Two-dimensional gravities and supergravities as integrable system, 30th Schladming Winter School, Schladming (1991).
15. [10] H. Nicolai, Phys. Lett. B 194 (1987) 402; H. Nicolai and N.P. Warner, Commun. Math. Phys. 125 (1989) 384; H. Nicolai, Two-dimensional gravities and supergravities as integrable system, 30th Schladming Winter School, Schladming (1991).
16. [10] H. Nicolai, Phys. Lett. B 194 (1987) 402; H. Nicolai and N.P. Warner, Commun. Math. Phys. 125 (1989) 384; H. Nicolai, Two-dimensional gravities and supergravities as integrable system, 30th Schladming Winter School, Schladming (1991).
17. [11] B. Julia, Kac-Moody symmetry of gravitation and supergravity theories, AMS-SIAM Summer Seminar on Applications of Group Theory in Physics and Mathematics, Chicago (1982).
18. [12] V.G. Kac, Infinite Dimensional Lie Algebras, 3rd ed. (Cambridge Univ. Press, Cambridge, 1990).
19. 10 for beginners, Gursey Memorial Conference I: On Strings and Symmetries, Istanbul (1994).
20. [14] R. Geroch, J. Math. Phys. 13 (1972) 394.
21. [15] H. Nicolai, Phys. Lett. B 276 (1992) 333.
22. [16] B. Julia and H. Nicolai, Nucl. Phys. B 439 (1995) 291.
23. [17] H. Freudenthal, Proc. Kon. Ned. Akad. Wet. A 56 (Indagationes Math. 15) (1953) 95-98 [French].
24. [18] J. Ehlers, Dissertation, Univ. Hamburg (1957).
25. [19] P. Matzner and C. Misner, Phys. Rev. 154 (1967) 1229
26. [20] B. Julia, Infinite Lie algebras in physics, 5th Johns Hopkins Workshop on Current Problems in Particle Theory, Baltimore (1981).
27. [21] L. Baulieu and M. Bellon, Phys. Lett. B 196 (1987) 142.
28. [22] R. Dick, Lett. Math. Phys. 18 (1989) 67; Fortschr. Phys. 40 (1992) 519.
29. [22] R. Dick, Lett. Math. Phys. 18 (1989) 67; Fortschr. Phys. 40 (1992) 519.
30. [23] H. Nicolai, Nucl. Phys. B 414 (1994) 299.
31. [24] T. Banks, W. Fischler, S. Shenker and L. Susskind, Phys. Rev. D 55 (1997) 112.
32. [25] R.W. Gebert and S. Mizoguchi, BPS saturation from null reduction, hep-th/9712078, accepted for publication in Class. and Quantum Gravity.