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Volumn 733, Issue 3, 2006, Pages 334-355

Integrability of supergravity billiards and the generalized Toda lattice equations

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EID: 29444452891     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2005.10.030     Document Type: Article
Times cited : (22)

References (57)
  • 4
    • 3142645203 scopus 로고    scopus 로고
    • de Sitter string vacua from supersymmetric D-terms
    • hep-th/0309187
    • C.P. Burgess R. Kallosh F. Quevedo de Sitter string vacua from supersymmetric D-terms hep-th/0309187
    • Burgess, C.P.1    Kallosh, R.2    Quevedo, F.3
  • 5
    • 23044492097 scopus 로고    scopus 로고
    • Spacelike branes
    • hep-th/0202210
    • M. Gutperle A. Strominger Spacelike branes JHEP 0204 2002 018 hep-th/ 0202210
    • (2002) JHEP , vol.204 , pp. 018
    • Gutperle, M.1    Strominger, A.2
  • 6
    • 0032370509 scopus 로고    scopus 로고
    • Multidimensional classical and quantum cosmology with intersecting p-branes
    • hep-th/9708157
    • V.D. Ivashchuk V.N. Melnikov Multidimensional classical and quantum cosmology with intersecting p-branes J. Math. Phys. 39 1998 2866 hep-th/ 9708157
    • (1998) J. Math. Phys. , vol.39 , pp. 2866
    • Ivashchuk, V.D.1    Melnikov, V.N.2
  • 7
    • 0037136138 scopus 로고    scopus 로고
    • A resolution of the cosmological singularity with orientifolds
    • hep-th/0204261
    • L. Cornalba M.S. Costa C. Kounnas A resolution of the cosmological singularity with orientifolds Nucl. Phys. B 637 2002 378 hep-th/0204261
    • (2002) Nucl. Phys. B , vol.637 , pp. 378
    • Cornalba, L.1    Costa, M.S.2    Kounnas, C.3
  • 8
    • 0142168419 scopus 로고    scopus 로고
    • On the classical stability of orientifold cosmologies
    • hep-th/0302137
    • L. Cornalba M.S. Costa On the classical stability of orientifold cosmologies Class. Quantum Grav. 20 2003 3969 hep-th/0302137
    • (2003) Class. Quantum Grav. , vol.20 , pp. 3969
    • Cornalba, L.1    Costa, M.S.2
  • 9
    • 0142240007 scopus 로고    scopus 로고
    • A note on the singularity theorem for supergravity SD-branes
    • hep-th/0305059
    • F. Leblond A.W. Peet A note on the singularity theorem for supergravity SD-branes hep-th/0305059
    • Leblond, F.1    Peet, A.W.2
  • 10
    • 23044513022 scopus 로고    scopus 로고
    • Supergravity S-branes
    • hep-th/0204144
    • M. Kruczenski R.C. Myers A.W. Peet Supergravity S-branes JHEP 0205 2002 039 hep-th/0204144
    • (2002) JHEP , vol.205 , pp. 039
    • Kruczenski, M.1    Myers, R.C.2    Peet, A.W.3
  • 11
    • 0141564780 scopus 로고    scopus 로고
    • Accelerating cosmologies from S-branes
    • hep-th/0303238
    • N. Ohta Accelerating cosmologies from S-branes Phys. Rev. Lett. 91 2003 061303 hep-th/0303238
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 061303
    • Ohta, N.1
  • 12
    • 23044497831 scopus 로고    scopus 로고
    • A note on accelerating cosmologies from compactifications and S-branes
    • hep-th/0304124
    • R. Emparan J. Garriga A note on accelerating cosmologies from compactifications and S-branes JHEP 0305 2003 028 hep-th/0304124
    • (2003) JHEP , vol.305 , pp. 028
    • Emparan, R.1    Garriga, J.2
  • 13
    • 33744990871 scopus 로고    scopus 로고
    • Comments on supergravity description of S-branes
    • hep-th/0305055
    • A. Buchel J. Walcher Comments on supergravity description of S-branes JHEP 0305 2003 069 hep-th/0305055
    • (2003) JHEP , vol.305 , pp. 069
    • Buchel, A.1    Walcher, J.2
  • 14
    • 0037275577 scopus 로고    scopus 로고
    • Solvable model of strings in a time-dependent plane-wave background
    • hep-th/0211289
    • G. Papadopoulos J.G. Russo A.A. Tseytlin Solvable model of strings in a time-dependent plane-wave background Class. Quantum Grav. 20 2003 969 hep-th/0211289
    • (2003) Class. Quantum Grav. , vol.20 , pp. 969
    • Papadopoulos, G.1    Russo, J.G.2    Tseytlin, A.A.3
  • 15
    • 0242375149 scopus 로고    scopus 로고
    • Lectures on string/brane cosmology
    • hep-th/0210292
    • F. Quevedo Lectures on string/brane cosmology hep-th/0210292
    • Quevedo, F.1
  • 16
    • 0041752857 scopus 로고    scopus 로고
    • The pre-big bang scenario in string cosmology
    • hep-th/0207130
    • M. Gasperini G. Veneziano The pre-big bang scenario in string cosmology hep-th/0207130
    • Gasperini, M.1    Veneziano, G.2
  • 17
    • 23044483141 scopus 로고    scopus 로고
    • String propagation in the presence of cosmological singularities
    • hep-th/0205101
    • B. Craps D. Kutasov G. Rajesh String propagation in the presence of cosmological singularities JHEP 0206 2002 053 hep-th/0205101
    • (2002) JHEP , vol.206 , pp. 053
    • Craps, B.1    Kutasov, D.2    Rajesh, G.3
  • 18
    • 0010746140 scopus 로고    scopus 로고
    • M-theory observables for cosmological space-times
    • hep-th/0102077
    • T. Banks W. Fischler M-theory observables for cosmological space-times hep-th/0102077
    • Banks, T.1    Fischler, W.2
  • 21
    • 21844527315 scopus 로고    scopus 로고
    • String field theory in curved spacetime and the resolution of spacelike singularities
    • hep-th/9509149
    • A.E. Lawrence E.J. Martinec String field theory in curved spacetime and the resolution of spacelike singularities Class. Quantum Grav. 13 1996 63 hep-th/9509149
    • (1996) Class. Quantum Grav. , vol.13 , pp. 63
    • Lawrence, A.E.1    Martinec, E.J.2
  • 22
    • 0002798932 scopus 로고
    • Nonoscillatory behavior in vacuum Kaluza-Klein cosmologies
    • J. Demaret M. Henneaux P. Spindel Nonoscillatory behavior in vacuum Kaluza-Klein cosmologies Phys. Lett. B 164 1985 27-30
    • (1985) Phys. Lett. B , vol.164 , pp. 27-30
    • Demaret, J.1    Henneaux, M.2    Spindel, P.3
  • 23
    • 0000152833 scopus 로고
    • The fate of the mixmaster behavior in vacuum inhomogeneous Kaluza-Klein cosmological models
    • J. Demaret J.L. Hanquin M. Henneaux P. Spindel A. Taormina The fate of the mixmaster behavior in vacuum inhomogeneous Kaluza-Klein cosmological models Phys. Lett. B 175 1986 129-132
    • (1986) Phys. Lett. B , vol.175 , pp. 129-132
    • Demaret, J.1    Hanquin, J.L.2    Henneaux, M.3    Spindel, P.4    Taormina, A.5
  • 24
    • 0002951981 scopus 로고
    • Chaos in nondiagonal spatially homogeneous cosmological models in space-time dimensions ≤10
    • J. Demaret Y. De Rop M. Henneaux Chaos in nondiagonal spatially homogeneous cosmological models in space-time dimensions ≤10 Phys. Lett. B 211 1988 37-41
    • (1988) Phys. Lett. B , vol.211 , pp. 37-41
    • Demaret, J.1    De Rop, Y.2    Henneaux, M.3
  • 25
    • 0035859612 scopus 로고    scopus 로고
    • Hyperbolic Kac-Moody algebras and chaos in Kaluza-Klein models
    • hep-th/0103094
    • T. Damour M. Henneaux B. Julia H. Nicolai Hyperbolic Kac-Moody algebras and chaos in Kaluza-Klein models Phys. Lett. B 509 2001 323-333 hep-th/ 0103094.
    • (2001) Phys. Lett. B , vol.509 , pp. 323-333
    • Damour, T.1    Henneaux, M.2    Julia, B.3    Nicolai, H.4
  • 26
    • 0242310163 scopus 로고    scopus 로고
    • Einstein billiards and overextensions of finite-dimensional simple Lie algebras
    • hep-th/0206125
    • T. Damour S. de Buyl M. Henneaux C. Schomblond Einstein billiards and overextensions of finite-dimensional simple Lie algebras JHEP 0208 2002 030 hep-th/0206125
    • (2002) JHEP , vol.208 , pp. 030
    • Damour, T.1    de Buyl, S.2    Henneaux, M.3    Schomblond, C.4
  • 29
    • 22144480107 scopus 로고    scopus 로고
    • M-theory and E10: Billiards, branes, and imaginary roots
    • hep-th/0401053
    • J. Brown O.J. Ganor C. Helfgott M-theory and E10: Billiards, branes, and imaginary roots JHEP 0408 2004 063 hep-th/0401053
    • (2004) JHEP , vol.408 , pp. 063
    • Brown, J.1    Ganor, O.J.2    Helfgott, C.3
  • 30
    • 22144441358 scopus 로고    scopus 로고
    • From very-extended to overextended gravity and M-theories
    • hep-th/0412184
    • F. Englert M. Henneaux L. Houart From very-extended to overextended gravity and M-theories JHEP 0502 2005 070 hep-th/0412184
    • (2005) JHEP , vol.502 , pp. 070
    • Englert, F.1    Henneaux, M.2    Houart, L.3
  • 31
    • 53849111541 scopus 로고    scopus 로고
    • Cosmological singularities, Einstein billiards and Lorentzian Kac-Moody algebras
    • Invited talk at Miami Waves 2004, Conference on Geometric Analysis, Nonlinear Wave Equations and General Relativity, Miami, 4-10 January gr-qc/0501064
    • T. Damour Cosmological singularities, Einstein billiards and Lorentzian Kac-Moody algebras Invited talk at Miami Waves 2004, Conference on Geometric Analysis, Nonlinear Wave Equations and General Relativity, Miami, 4-10 January 2004 gr-qc/0501064
    • (2004)
    • Damour, T.1
  • 32
    • 29444443291 scopus 로고    scopus 로고
    • Poincare, relativity, billiards and symmetry
    • Invited talk given at the Solvay Symposium on Henri Poincare, ULB, Brussels, 8-9 October hep-th/0501168
    • T. Damour Poincare, relativity, billiards and symmetry Invited talk given at the Solvay Symposium on Henri Poincare, ULB, Brussels, 8-9 October 2004 hep-th/0501168
    • (2004)
    • Damour, T.1
  • 33
    • 23044503357 scopus 로고    scopus 로고
    • Hyperbolic billiards of pure D = 4 supergravities
    • hep-th/0304233
    • M. Henneaux B. Julia Hyperbolic billiards of pure D = 4 supergravities JHEP 0305 2003 047 hep-th/0304233
    • (2003) JHEP , vol.305 , pp. 047
    • Henneaux, M.1    Julia, B.2
  • 34
    • 0014808945 scopus 로고
    • Oscillatory approach to a singular point in the relativistic cosmology
    • V.A. Belinsky I.M. Khalatnikov E.M. Lifshitz Oscillatory approach to a singular point in the relativistic cosmology Adv. Phys. 19 1970 525-573
    • (1970) Adv. Phys. , vol.19 , pp. 525-573
    • Belinsky, V.A.1    Khalatnikov, I.M.2    Lifshitz, E.M.3
  • 35
    • 84927770535 scopus 로고
    • A general solution of the Einstein equations with a time singularity
    • V.A. Belinsky I.M. Khalatnikov E.M. Lifshitz A general solution of the Einstein equations with a time singularity Adv. Phys. 31 1982 639-667
    • (1982) Adv. Phys. , vol.31 , pp. 639-667
    • Belinsky, V.A.1    Khalatnikov, I.M.2    Lifshitz, E.M.3
  • 36
    • 33750447591 scopus 로고    scopus 로고
    • Kasner and mixmaster behavior in universes with equation of state w≥ 1
    • hep-th/0312009
    • J.K. Erickson D.H. Wesley P.J. Steinhardt N. Turok Kasner and mixmaster behavior in universes with equation of state w≥ 1 Phys. Rev. D 69 2004 063514 hep-th/0312009
    • (2004) Phys. Rev. D , vol.69 , pp. 063514
    • Erickson, J.K.1    Wesley, D.H.2    Steinhardt, P.J.3    Turok, N.4
  • 37
    • 1842502016 scopus 로고    scopus 로고
    • Cosmological backgrounds of superstring theory and solvable algebras: Oxidation and branes
    • hep-th/0309237
    • P. Fré V. Gili F. Gargiulo A. Sorin K. Rulik M. Trigiante Cosmological backgrounds of superstring theory and solvable algebras: Oxidation and branes Nucl. Phys. B 685 2004 3-64 hep-th/0309237
    • (2004) Nucl. Phys. B , vol.685 , pp. 3-64
    • Fré, P.1    Gili, V.2    Gargiulo, F.3    Sorin, A.4    Rulik, K.5    Trigiante, M.6
  • 39
    • 29444444349 scopus 로고    scopus 로고
    • Cosmic billiards with painted walls in non-maximal supergravities: A worked out example
    • hep-th/0507256
    • P. Fré K. Rulik F. Gargiulo Cosmic billiards with painted walls in non-maximal supergravities: A worked out example hep-th/0507256
    • Fré, P.1    Rulik, K.2    Gargiulo, F.3
  • 40
    • 29444437666 scopus 로고    scopus 로고
    • The general pattern of Kač-Moody extensions in supergravity and the issue of cosmic billiards
    • hep-th/0507249
    • P. Fré K. Rulik F. Gargiulo M. Trigiante The general pattern of Kač-Moody extensions in supergravity and the issue of cosmic billiards hep-th/0507249
    • Fré, P.1    Rulik, K.2    Gargiulo, F.3    Trigiante, M.4
  • 43
  • 44
    • 0010073506 scopus 로고    scopus 로고
    • U-duality, solvable Lie algebras and extremal black-holes
    • Talk given at the III National Meeting of the Italian Society for General Relativity (SIGRAV) on the occasion of Prof. Bruno Bertotti's 65th birthday, Rome, September hep-th/9702167
    • P. Fré U-duality, solvable Lie algebras and extremal black-holes Talk given at the III National Meeting of the Italian Society for General Relativity (SIGRAV) on the occasion of Prof. Bruno Bertotti's 65th birthday, Rome, September 1996 hep-th/9702167
    • (1996)
    • Fré, P.1
  • 45
    • 0033478811 scopus 로고    scopus 로고
    • Solvable Lie algebras, BPS black holes and supergravity gaugings
    • P. Fré Solvable Lie algebras, BPS black holes and supergravity gaugings Fortschr. Phys. 47 1999 173-181
    • (1999) Fortschr. Phys. , vol.47 , pp. 173-181
    • Fré, P.1
  • 46
    • 0033535272 scopus 로고    scopus 로고
    • N = 8 BPS black holes with 1/2 or 1/4 supersymmetry and solvable Lie algebra: Decompositions decompositions
    • hep-th/9807136
    • G. Arcioni A. Ceresole F. Cordaro R. D'Auria P. Fré L. Gualtieri M. Trigiante N = 8 BPS black holes with 1/2 or 1/4 supersymmetry and solvable Lie algebra decompositions Nucl. Phys. B 542 1999 273-307 hep-th/9807136
    • (1999) Nucl. Phys. B , vol.542 , pp. 273-307
    • Arcioni, G.1    Ceresole, A.2    Cordaro, F.3    D'Auria, R.4    Fré, P.5    Gualtieri, L.6    Trigiante, M.7
  • 47
    • 0033246525 scopus 로고    scopus 로고
    • N = 8 BPS black holes preserving 1/8 supersymmetry
    • hep-th/9811251
    • M. Bertolini P. Fré M. Trigiante N = 8 BPS black holes preserving 1/8 supersymmetry Class. Quantum Grav. 16 1999 1519-1543 hep-th/9811251
    • (1999) Class. Quantum Grav. , vol.16 , pp. 1519-1543
    • Bertolini, M.1    Fré, P.2    Trigiante, M.3
  • 48
    • 0033240887 scopus 로고    scopus 로고
    • The generating solution of regular N = 8 BPS black holes
    • hep-th/9905143
    • M. Bertolini P. Fré M. Trigiante The generating solution of regular N = 8 BPS black holes Class. Quantum Grav. 16 1999 2987-3004 hep-th/9905143
    • (1999) Class. Quantum Grav. , vol.16 , pp. 2987-3004
    • Bertolini, M.1    Fré, P.2    Trigiante, M.3
  • 50
    • 0035530681 scopus 로고    scopus 로고
    • Non-semisimple gaugings of D = 5, N = 8 supergravity and FDAs
    • hep-th/0009048
    • L. Andrianopoli F. Cordaro P. Fré L. Gualtieri Non-semisimple gaugings of D = 5, N = 8 supergravity and FDAs Class. Quantum Grav. 18 2001 395-414 hep-th/0009048
    • (2001) Class. Quantum Grav. , vol.18 , pp. 395-414
    • Andrianopoli, L.1    Cordaro, F.2    Fré, P.3    Gualtieri, L.4
  • 51
    • 0035605661 scopus 로고    scopus 로고
    • Non-semisimple gaugings of D = 5, N = 8 supergravity
    • hep-th/0012203
    • L. Andrianopoli F. Cordaro P. Fré L. Gualtieri Non-semisimple gaugings of D = 5, N = 8 supergravity Fortschr. Phys. 49 2001 511-518 hep-th/0012203
    • (2001) Fortschr. Phys. , vol.49 , pp. 511-518
    • Andrianopoli, L.1    Cordaro, F.2    Fré, P.3    Gualtieri, L.4
  • 52
    • 29444437211 scopus 로고    scopus 로고
    • Gaugings and other supergravity tools for p-brane physics
    • Lectures given at the RTN School Recent Advances in M-theory, Paris, 1-8 February IHP hep-th/0102114
    • P. Fré Gaugings and other supergravity tools for p-brane physics Lectures given at the RTN School Recent Advances in M-theory, Paris, 1-8 February IHP hep-th/0102114
    • Fré, P.1
  • 54
    • 29444441115 scopus 로고    scopus 로고
    • Explicit integration of the full symmetric Toda hierarchy and the sorting property
    • solv-int/9502006
    • Y. Kodama K.T.-R. McLaughlin Explicit integration of the full symmetric Toda hierarchy and the sorting property solv-int/9502006
    • Kodama, Y.1    McLaughlin, K.T.-R.2
  • 55
    • 29444445739 scopus 로고    scopus 로고
    • Iso-spectral deformations of general matrix and their reductions on Lie algebras
    • solv-int/9506005
    • Y. Kodama J. Ye Iso-spectral deformations of general matrix and their reductions on Lie algebras solv-int/9506005
    • Kodama, Y.1    Ye, J.2
  • 56
    • 0000535489 scopus 로고
    • Classification of quaternionic spaces with a transitive solvable group of motions
    • D.V. Alekseevskii Classification of quaternionic spaces with a transitive solvable group of motions Izv. Akad. Nauk SSSR Ser. Mat. 9 1975 315-362
    • (1975) Izv. Akad. Nauk SSSR Ser. Mat. , vol.9 , pp. 315-362
    • Alekseevskii, D.V.1


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