Classical Yang-Baxter equation from supergravity

I. Bakhmatov; O. Kelekci; E. Ó Colgáin; M. M. Sheikh-Jabbari

doi:10.1103/PhysRevD.98.021901

Classical Yang-Baxter equation from supergravity

I. Bakhmatov, O. Kelekci, E. Ó Colgáin, M. M. Sheikh-Jabbari

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

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 Θ, 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 Θ 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.

Original language	English
Article number	021901
Journal	Physical Review D
Volume	98
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.98.021901
Publication status	Published - 15 Jul 2018
Externally published	Yes

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Classical Yang-Baxter equation from supergravity

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