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We study the integrability of gravity-matter systems in D=2 spatial dimensions with matter related to a symmetric space G/K using the well-known linear systems of Belinski-Zakharov (BZ) and Breitenlohner-Maison (BM).
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1986
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P. Breitenlohner and D. Maison, On the Geroch Group
1987
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1987
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B. -Y. Hou and W. Li, Virasoro algebra in the solution space of the Ernst equation
1987
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1988
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H. Nicolai, Two-dimensional gravities and supergravities as integrable system
1991
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J. H. Schwarz, Classical symmetries of some two-dimensional models coupled to gravity
1995
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A. Sen, Duality symmetry group of two-dimensional heterotic string theory
1995
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B. Julia and H. Nicolai, Conformal internal symmetry of 2-d sigma models coupled to gravity and a dilaton
1996
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A. W. Knapp, Lie Groups beyond an introduction
1996
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M. J. Duff, J. T. Liu and J. Rahmfeld, Four-dimensional string-string-string triality
1996
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H. Stephani, D. Kramer, M. A. H. MacCallum, C. Hoenselaers and E. Herlt, Exact solutions of Einstein’s field equations
2003
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T. Harmark, Stationary and axisymmetric solutions of higher-dimensional general relativity
2004
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A. Kleinschmidt and H. Nicolai, Gradient representations and affine structures in AE(n)
2005
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A. A. Pomeransky, Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
2006
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2007
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C. Devchand and D. B. Fairlie, A Generating Function For Hidden Symmetries Of Chiral Models
1998
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D. Bernard and B. Julia, Twisted selfduality of dimensionally reduced gravity and vertex operators
1999
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D. Maison, Duality and hidden symmetries in gravitational theories
2000
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V. Belinski and E. Verdaguer, Gravitational solitons
2001
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P. C. West, E(11) and M theory
2001
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T. Damour, M. Henneaux and H. Nicolai, E(10) and a ’small tension expansion’ of M theory
2002
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2008
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2009
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I. Bena, S. Giusto, C. Ruef and N. P. Warner, A (Running) Bolt for New Reasons
2009
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2010
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G. Compere, S. de Buyl, S. Stotyn and A. Virmani, A General Black String and its Microscopics
2010
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2012
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