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In this paper we show that all supergravity billiards corresponding to sigma-models on any U/H non compact-symmetric space and obtained by compactifying supergravity to D=3 are fully integrable.
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1997
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L. Andrianopoli, R. D’Auria, S. Ferrara, P. Frè and M. Trigiante, E(7)(7) duality, BPS black hole evolution and fixed scalars , Nucl.Phys.B509:463-518,(1998), hep-th/9707087
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M. Bertolini and M. Trigiante, Regular R-R and NS-NS BPS black holes Int. J. Mod. Phys. A 15
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2001
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2003
Cited alongside, same era.
M. Henneaux, B. Julia, Hyperbolic billiards of pure D=4 supergravities , JHEP 0305 (2003) 047, hep-th/0304233
2003
Cited alongside, same era.
2003
Cited alongside, same era.
P. Frè, K. Rulik, F. Gargiulo, Cosmic Billiards with Painted Walls in Non Maximal Supergravities: a worked out example , arXiV:hep-th/0507256
Cited in the paper.
P. Frè, K. Rulik, F. Gargiulo, M. Trigiante, The general pattern of Kač-Moody extensions in supergravity and the issue of cosmic billiards , arXiV:hep-th/0507249
Cited in the paper.
P. Frè, Gaugings and other supergravity tools for p p -brane physics , Lectures given at the RTN School Recent Advances in M-theory, Paris February 1-8 IHP, hep-th/0102114
Cited in the paper.
P. Fré, F. Gargiulo, Jan Rosseel, K. Rulik, M. Trigiante and A. Van Proeyen, Tits Satake projections of homogenoeus special geometries , hep-th/0606173
Cited in the paper.
Y. Kodama and K. T-R. McLaughlin, ”Explicit integration of the full symmetric Toda hierarchy and the sorting property”, solv-int/9502006; Y. Kodama and J. Ye, ”Iso-spectral deformations of general matrix and their reductions on Lie algebras”, solv-int/9506005
Cited in the paper.
2004
Later among the works it cites.
P. Frè, V. Gili, F. Gargiulo, A. Sorin, K. Rulik, M. Trigiante, Cosmological backgrounds of superstring theory and Solvable Algebras: Oxidation and Branes , Nucl.Phys. B685 (2004) 3-64, hep-th/0309237
2004
Later among the works it cites.
P. Frè, K. Rulik, M. Trigiante, Exact solutions for Bianchi type cosmological metrics, Weyl orbits of E 8 ( 8 ) E_{8(8)} subalgebras and p–branes , Nucl.Phys. B694 (2004) 239-274, hep-th/0312189
2004
Later among the works it cites.
P. Fré and A.S. Sorin, Integrability of Supergravity Billiards and the generalized Toda lattice equations , Nucl. Phys. B733
2006
Later among the works it cites.