Finite and infinite-dimensional symmetries of pure N = 2 supergravity in D = 4

Journal of High Energy Physics

Volumn 2009, Issue 8, 2009, Pages

  Houart, Laurent ^a   Kleinschmidt, Axel ^a   Hörnlund, Josef Lindman ^a   Persson, Daniel ^a   Tabti, Nassiba ^a  

^a INTERNATIONAL SOLVAY INSTITUTES   (Belgium)

Author keywords

Extended supersymmetry; Global symmetries; Supergravity models

Indexed keywords

EID: 70350057041     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/08/098     Document Type: Article

References (79)

1. J. Ehlers, 1971 Konstruktionen und Charakterisierung von Losungen der Einsteinschen Gravitationsfeldgleichungen, Dissertation, Hamburg University
2. E. Cremmer and B. Julia, 1978 The N=8 Supergravity Theory. 1. The Lagrangian, Phys. Lett. B 80 48
3. N. Marcus and J.H. Schwarz, 1983 Three-Dimensional Supergravity Theories, Nucl. Phys. B 228 145
4. B. Julia, 1982 Kac-Moody symmetry of gravitation and supergravity theories, invited talk given at AMS-SIAM Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, Chicago Illinois U.S.A., Jul 6-16, Lect. Notes Appl. Math. 21 1985
5. H. Nicolai, 1987 The integrability of N=16 supergravity, Phys. Lett. B 194 402
6. 10 symmetry in one-dimensional supergravity, Nucl. Phys. B 528 238 [hep-th/9703160]
7. 10 and a 'small tension expansion' of M-theory, Phys. Rev. Lett. 89 221601 [hep-th/0207267]
8. 11 and M-theory, Class. Quant. Grav. 18 4443 [hep-th/0104081]
9. 11, SL(32) and central charges, Phys. Lett. B 575 333 [hep-th/0307098]
10. +++ and the role of space-time, JHEP 02 (2004) 033 [hep-th/0312247]
11. +++ invariant formulation of gravity and M-theories: Exact BPS solutions, JHEP 01 (2004) 002 [hep-th/0311255]
12. F. Englert, M. Henneaux and L. Houart, 2005 From very-extended to overextended gravity and M- theories, JHEP 02 (2005) 070 [hep-th/0412184]
13. F. Englert, L. Houart, A. Taormina and P.C. West, 2003 The symmetry of M-theories, JHEP 09 (2003) 020 [hep-th/0304206]
14. M.R. Gaberdiel, D.I. Olive and P.C. West, 2002 A class of Lorentzian Kac-Moody algebras, Nucl. Phys. B 645 403 [hep-th/0205068]
15. A. Kleinschmidt, I. Schnakenburg and P.C. West, 2004 Very-extended Kac-Moody algebras and their interpretation at low levels, Class. Quant. Grav. 21 2493 [hep-th/0309198]
16. 9 multiplet of BPS states, JHEP 05 (2007) 065 [hep-th/0703285]
17. 10 Coset Model, Class. Quant. Grav. 24 6097 [0709.2691]
18. 11, JHEP 04 (2009) 051 [0902.4678]
19. 11?, Phys. Lett. B 675 371 [0903.4384]
20. R. Kallosh, D. Kastor, T. Ortín and T. Torma, 1994 Supersymmetry and stationary solutions in dilaton axion gravity, Phys. Rev. D 50 6374 [hep-th/9406059]
21. R. Argurio, F. Dehouck and L. Houart, 2009 Supersymmetry and Gravitational Duality, Phys. Rev. D 79 125001 [0810.4999]
22. W. Kinnersley, 1973 Generation of stationary Einstein-Maxwell fields J. Math. Phys. 14 651
23. M. Henneaux and B. Julia, 2003 Hyperbolic billiards of pure D=4 supergravities, JHEP 05 (2003) 047 [hep-th/0304233]
24. S. de Buyl, M. Henneaux, B. Julia and L. Paulot, 2004 Cosmological billiards and oxidation, Fortsch. Phys. 52 548 [hep-th/0312251]
25. M. Henneaux, D. Persson and P. Spindel, 2008 Spacelike Singularities and Hidden Symmetries of Gravity, Living Rev. Rel. 11 1 [0710.1818], http://relativity.livingreviews.org/Articles/lrr-2008-1/
26. F. Riccioni, A. Van Proeyen and P.C. West, 2008 Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries, JHEP 05 (2008) 079 [0801.2763]
27. G. Rousseau, 1989 Almost split K-forms of Kac-Moody algebras. Infinite Dimensional Lie Algebras and Groups Adv. Ser. Math. Phys. 7 70
28. V. Back-Valente, N. Bardy-Panse, H. Ben Messaoud and G. Rousseau, 1995 Formes presque déployées d'algèbres de Kac-Moody: Classification et racines relatives J. Algebra 171 43
29. H. Ben Messaoud, 2006 Almost split real forms for hyperbolic Kac-Moody Lie algebras J. Phys. A 39 13659
30. C.M. Hull, 1998 Gravitational duality, branes and charges, Nucl. Phys. B 509 216 [hep-th/9705162]
31. C.M. Hull, 2000 Strongly coupled gravity and duality, Nucl. Phys. B 583 237 [hep-th/0004195]
32. M. Henneaux and C. Teitelboim, 2005 Duality in linearized gravity, Phys. Rev. D 71 024018 [gr-qc/0408101]
33. C.W. Bunster, S. Cnockaert, M. Henneaux and R. Portugues, 2006 Monopoles for gravitation and for higher spin fields, Phys. Rev. D 73 105014 [hep-th/0601222]
34. N. Boulanger and O. Hohm, 2008 Non-linear parent action and dual gravity, Phys. Rev. D 78 064027 [0806.2775]
35. J.A. Nieto, 1999 S-duality for linearized gravity, Phys. Lett. A 262 274 [hep-th/9910049]
36. 11 and the embedding tensor, JHEP 09 (2007) 047 [0705.1304]
37. 11 origin of all maximal supergravities, JHEP 07 (2007) 063 [0705.0752]
38. 2, JHEP 11 (2007) 038 [0706.0667]
39. A. Kleinschmidt and D. Roest, 2008 Extended Symmetries in Supergravity: the Semi-simple Case, JHEP 07 (2008) 035 [0805.2573]
40. P. Breitenlohner, D. Maison and G.W. Gibbons, 1988 Four-Dimensional Black Holes from Kaluza-Klein Theories, Commun. Math. Phys. 120 295
41. S. Helgason, 1978 Differential Geometry, Lie Groups, and Symmetric Spaces, American Mathematical Society
42. S. de Buyl, Kac-Moody algebras in M-theory, [hep-th/0608161]
43. B. Julia, 1981 Group disintegrations, in Superspace and Supergravity, Proceedings of the Nuffield Gravity Workshop, Cambridge, England, Jun 22-Jul 12, 1980, S. Hawking and M. Rocek eds., Cambridge University Press, Cambridge U.K. pg. 331
44. R. Argurio, Brane physics in M-theory, [hep-th/9807171]
45. D. Gaiotto, W.W. Li and M. Padi, 2007 Non-Supersymmetric Attractor Flow in Symmetric Spaces, JHEP 12 (2007) 093 [0710.1638]
46. E. Bergshoeff, W. Chemissany, A. Ploegh, M. Trigiante and T. Van Riet, 2009 Generating Geodesic Flows and Supergravity Solutions, Nucl. Phys. B 812 343 [0806.2310]
47. B. Pioline, 2006 Lectures on on black holes, topological strings and quantum attractors, Class. Quant. Grav. 23 S981 [hep-th/0607227]
48. A. Neitzke, B. Pioline and S. Vandoren, 2007 Twistors and Black Holes, JHEP 04 (2007) 038 [hep-th/0701214]
49. 2(2), Commun. Math. Phys. 283 169 [0707.1669]
50. M. Günaydin, A. Neitzke, B. Pioline and A. Waldron, 2007 Quantum Attractor Flows JHEP 09 (2007) 056 [0707.0267]
51. G. Bossard, H. Nicolai and K.S. Stelle, 2009 Universal BPS structure of stationary supergravity solutions, JHEP 07 (2009) 003 [0902.4438]
52. G. Compere, S. de Buyl, E. Jamsin and A. Virmani, 2009 G2 Dualities in D=5 Supergravity and Black Strings, Class. Quant. Grav. 26 125016 [0903.1645]
53. G. Neugebauer and D. Kramer, 1969 A method for the construction of stationary Einstein- Maxwell fields (in German), Annalen Phys. 24 62
54. E. Cremmer, H. Lü, C.N. Pope and K.S. Stelle, 1998 Spectrum-generating symmetries for BPS solitons, Nucl. Phys. B 520 132 [hep-th/9707207]
55. C.M. Hull and P.K. Townsend, 1995 Unity of superstring dualities, Nucl. Phys. B 438 109 [hep-th/9410167]
56. S. Cecotti, S. Ferrara and L. Girardello, 1989 Geometry of Type II Superstrings and the Moduli of Superconformal Field Theories, Int. J. Mod. Phys. A 4 2475
57. K. Behrndt, I. Gaida, D. Lüst, S. Mahapatra and T. Mohaupt, 1997 From type IIA black holes to T-dual type IIB D-instantons in N=2, D=4 supergravity, Nucl. Phys. B 508 659 [hep-th/9706096]
58. M. de Vroome and S. Vandoren, 2007 Supergravity description of spacetime instantons, Class. Quant. Grav. 24 509 [hep-th/0607055]
59. L. Bao, A. Kleinschmidt, B.E.W. Nilsson, D. Persson and B. Pioline, Instanton corrections to the Universal Hypermultiplet and Automorphic Forms on SU(2,1), to appear
60. V. Kac, 1995 Infinite dimensional Lie algebras, Cambridge University Press, Cambridge U.K.
61. D. Peterson and V. Kac, 1983 Infinite flag varieties and conjugacy theorems Proc. Natl. Acad. Sc. USA 80 1778
62. T. Nutma, Software SimpLie, http://code.google.com/p/simplie/
63. 11: Sign of the times, Nucl. Phys. B 697 302 [hep-th/0402090]
64. ++ invariant theories, JHEP 06 (2005) 084 [hep-th/0505199]
65. A. Keurentjes, 2004 Time-like T-duality algebra, JHEP 11(2004)034 [hep-th/0404174]
66. +++ invariant formulation of gravity and M-theories: Exact intersecting brane solutions, JHEP 05 (2004) 059 [hep-th/0405082]
67. 9 levels, [hep-th/0410245]
68. E.B. Dynkin, 1957 Semisimple subalgebras of semisimple Lie algebras Trans. Am. Math. Soc. 6 111
69. A.J. Feingold and H. Nicolai, 2004 Subalgebras of Hyperbolic Kac-Moody Algebras Cont. Math. 343 97 [math.QA/0303179]
70. +++ algebras, Commun. Math. Phys. 275 491 [hep-th/0510212]
71. 8(8), Adv. Theor. Math. Phys. 5 923 [hep-th/0109005]
72. R. Argurio, F. Englert and L. Houart, 1997 Intersection rules for p-branes, Phys. Lett. B 398 61 [hep-th/9701042]
73. J.M. Maldacena, Black holes in string theory, [hep-th/9607235]
74. 8 at low levels, gravity and supergravity, Class. Quant. Grav. 20 2393 [hep-th/0212291]
75. 11, [hep-th/0301017]
76. 11 origin, Nucl. Phys. B 693 76 [hep-th/0402140]
77. B. de Wit, H. Nicolai and H. Samtleben, 2008 Gauged Supergravities, Tensor Hierarchies and M-theory, JHEP 02 (2008) 044 [0801.1294]
78. d, Nucl. Phys. B 509 122 [hep-th/9707217]
79. N.A. Obers and B. Pioline, U-duality and M-theory, an algebraic approach, [hep-th/9812139]