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Paper   IPM / P / 14968
School of Physics
  Title:   Classical Yang-Baxter Equation from Supergravity
1.  I. Bakhmatov
2.  O. Kelekci
3.  E. O Colgain
4.  M.M. Sheikh-Jabbari
  Status:   Published
  Journal: Phys. Rev. D
  No.:  2
  Vol.:  98
  Year:  2018
  Pages:   021901
  Supported by:  IPM
We promote the open-closed string map, originally formulated by Seiberg & Witten, to a solution generating technique in generalized supergravity. The entire prescription hinges on knowledge of an antisymmetric bivector Θ, which is specified by the equations of motion. In the cases we study, the equations of motion reproduce the Classical Yang-Baxter equation and Θ is the most general r-matrix solution. Our work opens a new window on the relation between integrable models, supergravity and noncommutativity in string theory.

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