Published January 1, 2018 | Version v1
Journal article Open

Classical Yang-Baxter equation from supergravity

  • 1. Asia Pacific Center for Theoretical Physics, Postech, Pohang 37673, Korea
  • 2. Faculty of Engineering, University of Turkish Aeronautical Association, 06790 Ankara, Turkey
  • 3. School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O.Box 19395-5531, Tehran, Iran

Description

We promote the open-closed string map, originally formulated by Seiberg & Witten, to a solution generating prescription in generalized supergravity. The approach hinges on a knowledge of an antisymmetric bivector $\Theta $, built from antisymmetric products of Killing vectors, which is specified by the equations of motion. In the cases we study, the equations of motion reproduce the classical Yang-Baxter equation (CYBE) and $\Theta $ is the most general $r$-matrix solution. Our work generalizes Yang-Baxter deformations to non-coset spaces and unlocks gravity as a means to classify $r$-matrix solutions to the CYBE.

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PhysRevD.98.021901.pdf

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