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Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
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A new derivation of the five-dimensional Myers-Perry black-hole metric as a 2-soliton solution on a non-flat background is presented. It is intended to be an illustration of how the well-known Belinski-Zakharov method can be applied to find solutions of the Einstein equations in D-dimensional space-time with D-2 commuting Killing vectors using the complete integrability of this system. The method appears also to be promising for the analysis of the uniqueness questions for higher-dimensional black holes.
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Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory
Integrable deformations of the Breitenlohner-Maison sigma model are obtained from 4d Chern-Simons theory, corresponding to solutions of the homogeneous and inhomogeneous classical Yang-Baxter equations.
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