Generalized geometry and M theory

Journal of High Energy Physics

Volumn 2011, Issue 6, 2011, Pages

  Berman, David S ^a   Perry, Malcolm J ^b,c  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

M Theory; p branes; Space time symmetries

Indexed keywords

EID: 80053108543     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP06(2011)074     Document Type: Article

References (72)

1. B. Julia, Group disintegrations, in Superspace and supergravity: proceedings of the Nuffield Workshop, Cambridge 1980, S.W. Hawking and M. Rocek eds., Cambridge University Press, Cambridge U.K. (1981).
2. B. Julia, Gravity, supergravities and integrable systems, in Group Theoretical Methods in Physics: Proceedings, Istanbul, Turkey 1982, M. Serdaroglu and E. Inonu eds., Spinger, U.S.A. (1983).
3. J. Thierry-Mieg and B. Morel, Superalgebras in exceptional gravity, in Superspace and supergravity: proceedings of the Nuffield Workshop, Cambridge 1980, S.W. Hawking and M. Rocek eds., Cambridge University Press, Cambridge U.K. (1981).
4. E. Cremmer, Supergravities in 5 dimensions, in Supergravities in diverse dimensions, volume 1, A. Salam and E. Sezgin, World Scientific, Singapore (1989).
5. G.W. Gibbons and S.W. Hawking, Classification of gravitational instanton symmetries, Commun. Math. Phys. 66 (1979) 291 [SPIRES].
6. B. de Wit and H. Nicolai, D = 11 supergravity with local SU(8) invariance, Nucl. Phys. B 274 (1986) 363 [SPIRES].
7. H. Nicolai, D = 11 supergravity with local SO(16) invariance, Phys. Lett. B 187 (1987) 316 [SPIRES].
8. K. Koepsell, H. Nicolai and H. Samtleben, An exceptional geometry for D = 11 supergravity?, Class. Quant. Grav. 17 (2000) 3689 [hep-th/0006034] [SPIRES].
9. B. de Wit and H. Nicolai, Hidden symmetries, central charges and all that, Class. Quant. Grav. 18 (2001) 3095 [hep-th/0011239] [SPIRES].
10. P. West, Generalised space-time and duality, Phys. Lett. B 693 (2010) 373 [arXiv:1006.0893] [SPIRES].
11. P.C. West, E11 and M-theory, Class. Quant. Grav. 18 (2001) 4443 [hep-th/0104081] [SPIRES].
12. P.C. West, E11, SL(32) and central charges, Phys. Lett. B 575 (2003) 333 [hep-th/0307098] [SPIRES].
13. P.C. West, E11 origin of brane charges and U-duality multiplets, JHEP 08 (2004) 052 [hep-th/0406150] [SPIRES].
14. A. Kleinschmidt and P.C. West, Representations of G+++ and the role of space-time, JHEP 02 (2004) 033 [hep-th/0312247] [SPIRES].
15. P.C. West, Brane dynamics, central charges and E11, JHEP 03 (2005) 077 [hep-th/0412336] [SPIRES].
16. N.A. Obers and B. Pioline, U-duality and M-theory, Phys. Rept. 318 (1999) 113 [hep-th/9809039] [SPIRES].
17. F. Riccioni and P.C. West, E11-extended spacetime and gauged supergravities, JHEP 02 (2008) 039 [arXiv:0712.1795] [SPIRES].
18. H. Nicolai and A. Kleinschmidt, E10: eine fundamentale Symmetrie der Physik?, Phys. Unserer Zeit 3N41 (2010) 134.
19. T. Damour, M. Henneaux and H. Nicolai, E10 and a 'small tension expansion' of M-theory, Phys. Rev. Lett. 89 (2002) 221601 [hep-th/0207267] [SPIRES].
20. T. Damour, M. Henneaux and H. Nicolai, Cosmological billiards, Class. Quant. Grav. 20 (2003) R145 [hep-th/0212256] [SPIRES].
21. D. Persson, Arithmetic and hyperbolic structures in string theory, arXiv:1001.3154 [SPIRES].
22. C. Hillmann, Generalized E7(7) coset dynamics and D = 11 supergravity, JHEP 03 (2009) 135 [arXiv:0901.1581] [SPIRES].
23. N. Hitchin, Generalized Calabi-Yau manifolds, Quart. J. Math. Oxford Ser. 54 (2003) 281 [math/0209099]. = MATH/0209099;
24. N. Hitchin, Brackets, forms and invariant functionals, math/0508618.
25. M. Gualtieri, Generalized complex geometry, math/0401221.
26. C.M. Hull, Generalised geometry for M-theory, JHEP 07 (2007) 079 [hep-th/0701203] [SPIRES].
27. P.P. Pacheco and D. Waldram, M-theory, exceptional generalised geometry and superpotentials, JHEP 09 (2008) 123 [arXiv:0804.1362] [SPIRES].
28. P.A.M. Dirac, The theory of gravitation in Hamiltonian form, Proc. Roy. Soc. Lond. A 246 (1958) 333 [SPIRES].
29. P.A.M. Dirac, Fixation of coordinates in the Hamiltonian theory of gravitation, Phys. Rev. 114 (1959) 924 [SPIRES].
30. R.L. Arnowitt, S. Deser and C.W. Misner, Dynamical structure and definition of energy in general relativity, Phys. Rev. 116 (1959) 1322 [SPIRES].
31. S. Deser, R. Arnowitt and C.W. Misner, Consistency of canonical reduction of general relativity, J. Math Phys. 1 (1960) 434 [SPIRES].
32. R.L. Arnowitt, S. Deser and C.W. Misner, Canonical variables for general relativity, Phys. Rev. 117 (1960) 1595 [SPIRES].
33. R.L. Arnowitt, S. Deser and C.W. Misner, The dynamics of general relativity, in Gravitation. An introduction to current research, L. Witten ed., John Wiley & Sons, U.S.A. (1962).
34. B.S. DeWitt, Quantum theory of gravity. 1. The canonical theory, Phys. Rev. 160 (1967) 1113 [SPIRES].
35. C.M. Hull, Duality and the signature of space-time, JHEP 11 (1998) 017 [hep-th/9807127] [SPIRES].
36. M.J. Duff, Duality rotations in string theory, Nucl. Phys. B 335 (1990) 610 [SPIRES].
37. A.A. Tseytlin, Duality symmetric formulation of string world sheet dynamics, Phys. Lett. B 242 (1990) 163 [SPIRES].
38. A.A. Tseytlin, Duality symmetric closed string theory and interacting chiral scalars, Nucl. Phys. B 350 (1991) 395 [SPIRES].
39. C.M. Hull, A geometry for non-geometric string backgrounds, JHEP 10 (2005) 065 [hep-th/0406102] [SPIRES].
40. C.M. Hull, Global aspects of T-duality, gauged σ-models and T-folds, JHEP 10 (2007) 057 [hep-th/0604178] [SPIRES].
41. C.M. Hull, Doubled geometry and T-folds, JHEP 07 (2007) 080 [hep-th/0605149] [SPIRES].
42. C. Hull and B. Zwiebach, Double field theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [SPIRES].
43. C. Hull and B. Zwiebach, The gauge algebra of double field theory and Courant brackets, JHEP 09 (2009) 090 [arXiv:0908.1792] [SPIRES].
44. O. Hohm, C. Hull and B. Zwiebach, Background independent action for double field theory, JHEP 07 (2010) 016 [arXiv:1003.5027] [SPIRES].
45. M.J. Duff and J.X. Lu, Duality rotations in membrane theory, Nucl. Phys. B 347 (1990) 394 [SPIRES].
46. D.S. Berman and N.B. Copland, The string partition function in Hull's doubled formalism, Phys. Lett. B 649 (2007) 325 [hep-th/0701080] [SPIRES].
47. D.S. Berman, N.B. Copland and D.C. Thompson, Background field equations for the duality symmetric string, Nucl. Phys. B 791 (2008) 175 [arXiv:0708.2267] [SPIRES].
48. D.S. Berman and D.C. Thompson, Duality symmetric strings, dilatons and O(d, d) effective actions, Phys. Lett. B 662 (2008) 279 [arXiv:0712.1121] [SPIRES].
49. S.D. Avramis, J.-P. Derendinger and N. Prezas, Conformal chiral boson models on twisted doubled tori and non-geometric string vacua, Nucl. Phys. B 827 (2010) 281 [arXiv:0910.0431] [SPIRES].
50. G. Bonelli and M. Zabzine, From current algebras for p-branes to topological M-theory, JHEP 09 (2005) 015 [hep-th/0507051] [SPIRES].
51. G. Bonelli, A. Tanzini and M. Zabzine, On topological M-theory, Adv. Theor. Math. Phys. 10 (2006) 239 [hep-th/0509175] [SPIRES].
52. G. Bonelli, A. Tanzini and M. Zabzine, Topological branes, p-algebras and generalized Nahm equations, Phys. Lett. B 672 (2009) 390 [arXiv:0807.5113] [SPIRES].
53. G. Aldazabal, E. Andres, P.G. Camara and M. Graña, U-dual fluxes and generalized geometry, JHEP 11 (2010) 083 [arXiv:1007.5509] [SPIRES].
54. M. Graña, R. Minasian, M. Petrini and D. Waldram, T-duality, generalized geometry and non-geometric backgrounds, JHEP 04 (2009) 075 [arXiv:0807.4527] [SPIRES].
55. E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124] [SPIRES].
56. C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167] [SPIRES].
57. R.A. Reid-Edwards, Bi-algebras, generalised geometry and T-duality, arXiv:1001.2479 [SPIRES].
58. N. Halmagyi, Non-geometric backgrounds and the first order string σ-model, arXiv:0906.2891 [SPIRES].
59. J. McOrist, D.R. Morrison and S. Sethi, Geometries, non-geometries and fluxes, arXiv:1004.5447 [SPIRES].
60. J. de Boer and M. Shigemori, Exotic branes and non-geometric backgrounds, Phys. Rev. Lett. 104 (2010) 251603 [arXiv:1004.2521] [SPIRES].
61. V. Moncrief and C. Teitelboim, Momentum constraints as integrability conditions for the hamiltonian constraint in general relativity, Phys. Rev. D 6 (1972) 966 [SPIRES].
62. G.W. Gibbons, S.W. Hawking and M.J. Perry, Path integrals and the indefiniteness of the gravitational action, Nucl. Phys. B 138 (1978) 141 [SPIRES].
63. H.A. Buchdahl, Reciprocal static solutions of the equations of the gravitational field, Austral. J. Phys. 9 (1956) 13.
64. J. Ehlers, Konstruktionen und Charakterisierung von Losungen der Einsteinschen Gravitationsfeldgleichungen, Ph.D. thesis, University of Hamburg, Hamburg, Germany (1957).
65. R.P. Geroch, A method for generating solutions of Einstein's equations, J. Math. Phys. 12 (1971) 918 [SPIRES].
66. R.P. Geroch, A Method for generating new solutions of Einstein's equation. 2, J. Math. Phys. 13 (1972) 394 [SPIRES].
67. J. Thierry-Mieg, BRS structure of the antisymmetric tensor gauge theories, Nucl. Phys. B 335 (1990) 334 [SPIRES].
68. L. Baulieu and M. Henneaux, P forms and diffeomorphisms: hamiltonian formulation, Phys. Lett. B 194 (1987) 81 [SPIRES].
69. T. Courant, Dirac manifolds, Trans. Amer. Math. Soc. 319 (1990) 631.
70. E. Bergshoeff, E. Sezgin and P.K. Townsend, Properties of the eleven-dimensional super membrane theory, Ann. Phys. 185 (1988) 330 [SPIRES].
71. O. Hohm, C. Hull and B. Zwiebach, Generalized metric formulation of double field theory, JHEP 08 (2010) 008 [arXiv:1006.4823] [SPIRES].
72. C.M. Hull and B. Julia, Duality and moduli spaces for time-like reductions, Nucl. Phys. B 534 (1998) 250 [hep-th/9803239] [SPIRES].