Hidden symmetries and Dirac fermions

Classical and Quantum Gravity

Volumn 22, Issue 17, 2005, Pages 3595-3622

  De Buyl, Sophie ^a,b   Henneaux, Marc ^a,c   Paulot, Louis ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b FNRS   (Belgium)

^c CENTRO DE ESTUDIOS CIENTÍFICOS CECS   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24144467870     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/17/018     Document Type: Article

References (73)

1. Ehlers J 1959 Les théories relativistes de la gravitation (Paris: CNRS)
2. Geroch R 1971 A method for generating solutions of Einstein's equations J. Math. Phys. 12 918
3. Cremmer E and Julia B 1978 The N ≤ 8 supergravity theory: 1. The Lagrangian Phys. Lett. B 80 48
4. Cremmer E and Julia B 1979 The SO(8) supergravity Nucl. Phys. B 159 141
5. Obers N A and Pioline B 1999 U-duality and M-theory Phys. Rep. 318 113 (Preprint hep-th/9809039)
6. Cremmer E, Julia B, Lu H and Pope C N 1999 Higher-dimensional origin of D ≤ 3 coset symmetries Preprint hep-th/9909099
7. Breitenlohner P, Maison D and Gibbons G W 1988 Four-dimensional black holes from Kaluza-Klein theories Commun. Math. Phys. 120 295
8. Julia B 1980 Group disintegrations Invited paper presented at Nuffield Gravity Workshop-LPTENS 80/16 (Cambridge, 22 June-12 July)
9. Julia B 1981 Infinite Lie algebras in physics Invited talk given at Johns Hopkins Workshop on Current Problems in Particle Theory-LPTENS-81-14 (Baltimore, 25-27 May)
10. Nicolai H 1992 A hyperbolic Lie algebra from supergravity Phys. Lett. B 276 333
11. Damour T and Henneaux M 2001 E(10), BE(10) and arithmetical chaos in superstring cosmology Phys. Rev. Lett. 86 4749 (Preprint hep-th/0012172)
12. Damour T, de Buyl S, Henneaux M and Schomblond C 2002 Einstein billiards and overextensions of finite-dimensional simple Lie algebras J. High Energy Phys. JHEP08(2002)030 (Preprint hep-th/0206125)
13. Henneaux M and Julia B 2003 Hyperbolic billiards of pure D ≤ 4 supergravities J. High Energy Phys. JHEP05(2003)047 (Preprint hep-th/0304233)
14. Damour T, Henneaux M and Nicolai H 2002 E(10) and a 'small tension expansion' of M theory Phys. Rev. Lett. 89 221601 (Preprint hep-th/0207267)
15. West P C 2001 E(11) and M theory Class. Quantum Grav. 18 4443 (Preprint hep-th/0104081)
16. Gaberdiel M R, Olive D I and West P C 2002 A class of Lorentzian Kac-Moody algebras Nucl. Phys. B 645 403 (Preprint hep-th/0205068)
17. Englert F, Houart L, Taormina A and West P 2003 The symmetry of M-theories J. High Energy Phys. JHEP09(2003)020 (Preprint hep-th/0304206)
18. Englert F, Houart L and West P 2003 Intersection rules, dynamics and symmetries J. High Energy Phys. JHEP08(2003)025 (Preprint hep-th/0307024)
19. Miemiec A and Schnakenburg I 2004 Killing spinor equations from nonlinear realisations Nucl. Phys. B 698 517 (Preprint hep-th/0404191)
20. +++ and the role of space-time J. High Energy Phys. JHEP02(2004)033 (Preprint hep-th/0312247)
21. West P 2004 E(11) origin of brane charges and U-duality multiplets J. High Energy Phys. JHEP08(2004)052 (Preprint hep-th/0406150)
22. West P 2004 Some simple predictions from E(11) symmetry Preprint hep-th/0407088
23. Schnakenburg I and West P 2004 Kac-Moody symmetries of ten-dimensional non-maximal supergravity theories J. High Energy Phys. JHEP05(2004)019 (Preprint hep-th/0401196)
24. West P 2004 Brane dynamics, central charges and E(11) Preprint hep-th/0412336
25. +++ invariant formulation of gravity and M-theories: exact BPS solutions J. High Energy Phys. JHEP01(2004)002 (Preprint hep-th/0311255)
26. +++ invariant formulation of gravity and M-theories: exact intersecting brane solutions J. High Energy Phys. JHEP05(2004)059 (Preprint hep-th/0405082)
27. Englert F and Houart L 2004 From brane dynamics to a Kac-Moody invariant formulation of M-theories Preprint hep-th/0402076
28. Englert F, Henneaux M and Houart L 2004 From very-extended to overextended gravity and M-theories Preprint hep-th/0412184
29. ++ invariant theories Preprint hep-th/0505199
30. Henry-Labordere P, Julia B and Paulot L 2002 Borcherds symmetries in M-theory J. High Energy Phys. JHEP04(2002)049 (Preprint hep-th/0203070)
31. Henry-Labordere P, Julia B and Paulot L 2003 Real Borcherds superalgebras and M-theory J. High Energy Phys. JHEP04(2003)060 (Preprint hep-th/0212346)
32. Dolivet Y, Henry-Labordere P, Julia B and Paulot L 2004 Superalgebras of oxidation chains Preprint ULB-TH/04-09
33. Cremmer E, Julia B and Scherk J 1978 Supergravity theory in 11 dimensions Phys. Lett. B 76 409
34. Julia B 1986 Induced representations and supersymmetric covariant derivatives Proc. Higher Dimensional Theories and Expected Physics (Annecy)
35. Chamseddine A H and Nicolai H 1980 Coupling the SO(2) supergravity through dimensional reduction Phys. Lett. B 96 89
36. Julia B 1999 Strings, Branes and Dualities (Lectures at Cargèse School, 1997) (Dordrecht: Kluwer)
37. Keurentjes A 2003 The group theory of oxidation Nucl. Phys. B 658 303 (Preprint hep-th/0210178)
38. Keurentjes A 2003 The group theory of oxidation: II. Cosets of non-split groups Nucl. Phys. B 658 348 (Preprint hep-th/0212024)
39. de Buyl S, Henneaux M, Julia B and Paulot L 2004 Cosmological billiards and oxidation Fortsch. Phys. 52 548 (Preprint hep-th/0312251)
40. Keurentjes A 2004 The topology of U-duality (sub-)groups Class. Quantum Grav. 21 1695 (Preprint hep-th/0309106)
41. Belinsky V A, Khalatnikov I M and Lifshitz E M 1970 Oscillatory approach to a singular point in the relativistic cosmology Adv. Phys. 19 525
42. Belinsky V A, Khalatnikov I M and Lifshitz E M 1982 A general solution of the Einstein equations with a time singularity Adv. Phys. 31 639
43. Damour T, Henneaux M and Nicolai H 2003 Cosmological billiards Class. Quantum Grav. 20 R145 (Preprint hep-th/0212256)
44. Belinsky V A and Khalatnikov I M 1977 On the influence of spinor and electromagnetic fields on the nature of the cosmological singularity Rend. Sem. Mat. Univ. Politech. Torino 35 159
45. Cremmer E, Julia B, Lu H and Pope C N 1998 Dualisation of dualities: I Nucl. Phys. B 523 73 (Preprint hep-th/9710119)
46. Cremmer E, Julia B, H. Lu and Pope C N 1998 Dualisation of dualities: II. Twisted self-duality of doubled fields and superdualities Nucl. Phys. B 535 242 (Preprint hep-th/9806106)
47. Kac V G 1990 Infinite Dimensional Lie Algebras 3rd edn (Cambridge: Cambridge University Press)
48. Marcus N and Schwarz J H 1983 Three-dimensional supergravity theories Nucl. Phys. B 228 145
49. Henneaux M and Teitelboim C 1988 Dynamics of chiral (selfdual) p-forms Phys. Lett. B 206 650
50. Pasti P, Sorokin D P and Tonin M 1997 On Lorentz invariant actions for chiral p-forms Phys. Rev. D 55 6292 (Preprint hep-th/9611100)
51. Dall'Agata G, Lechner K and Sorokin D 1997 Covariant actions for the bosonic sector of D ≤ 10 IIB supergravity Class. Quantum Grav. 14 L195
52. Dall'Agata G, Lechner K and Tonin M 1998 D ≤ 10, N ≤ IIB supergravity: Lorentz-invariant actions and duality J. High Energy Phys. JHEP07(1998)017
53. Schwarz J H and West P C 1983 Symmetries and transformations of chiral N ≤ 2, D ≤ 10 supergravity Phys. Lett. B 126 301
54. Howe P S and West P C 1984 The complete N ≤ 2, D ≤ 10 supergravity Nucl. Phys. B 238 181
55. Mizoguchi S and Ohta N 1998 More on the similarity between D ≤ 5 simple supergravity and M theory Phys. Lett. B 441 123 (Preprint hep-th/9807111)
56. Mizoguchi S and Schroder G 2000 On discrete U-duality in M-theory Class. Quantum Grav. 17 835 (Preprint hep-th/9909150)
57. de Wit B and Nicolai H 1985 Hidden symmetry in D ≤ 11 supergravity Phys. Lett. B 155 47
58. de Wit B and Nicolai H 1986 D ≤ 11 supergravity with local SU(8) invariance Nucl. Phys. B 274 363
59. Nicolai H 1987 D ≤ 11 supergravity with local SO(16) invariance Phys. Lett. B 187 316
60. de Wit B and Nicolai H 2001 Hidden symmetries, central charges and all that Class. Quantum Grav. 18 3095 (Preprint hep-th/0011239)
61. Damour T and Nicolai H 2004 Eleven dimensional supergravity and the E(10)/K(E(10)) sigma-model at low A(9) levels Preprint hep-th/0410245
62. Nicolai H and Samtleben H 2005 On K(E(9)) Q. J. Pure Appl. Math. 1 180 (Preprint hep-th/0407055)
63. Kleinschmidt A and Nicolai H 2004 E(10) and SO(9, 9) invariant supergravity J. High Energy Phys. JHEP07(2004)041 (Preprint hep-th/0407101)
64. Demaret J, Hanquin J L, Henneaux M and Spindel P 1985 Cosmological models in eleven-dimensional supergravity Nucl. Phys. B 252 538
65. Henneaux M 1980 Bianchi type I cosmologies and spinor fields Phys. Rev. D 21 857
66. Henneaux M 1981 Bianchi universes and spinor fields Ann. Poincaré Phys. Theor. 34 329
67. Saha B and Boyadjiev T 2004 Bianchi type I cosmology with scalar and spinor fields Phys. Rev. D 69 124010 (Preprint gr-qc/0311045)
68. Damour T and Nicolai H 2005 Higher order M theory corrections and the Kac-Moody algebra E(10) Preprint hep-th/0504153
69. Matschull H J and Nicolai H 1994 Canonical treatment of coset space sigma models Int. J. Mod. Phys. D 3 81
70. Gasperini M and Veneziano G 2003 The pre-big bang scenario in string cosmology Phys. Rep. 373 1 (Preprint hep-th/0207130)
71. Veneziano G 2004 A model for the big bounce J. Cosmol. Astropart. Phys. JCAP03(2004)004 (Preprint hep-th/0312182)
72. Steinhardt P J and Turok N 2002 Cosmic evolution in a cyclic universe Phys. Rev. D 65 126003 (Preprint hep-th/0111098)
73. Wesley D H, Steinhardt P J and Turok N 2005 Controlling chaos through compactification in cosmological models with a collapsing phase Preprint hep-th/0502108