Classical Yang-Baxter Equation from Supergravity
High Energy Physics - Theory
2018-07-11 v2
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 , 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 is the most general -matrix solution. Our work generalizes Yang-Baxter deformations to non-coset spaces and unlocks gravity as a means to classify -matrix solutions to the CYBE.
Keywords
Cite
@article{arxiv.1710.06784,
title = {Classical Yang-Baxter Equation from Supergravity},
author = {I. Bakhmatov and Ö. Kelekci and E. Ó Colgáin and M. M. Sheikh-Jabbari},
journal= {arXiv preprint arXiv:1710.06784},
year = {2018}
}
Comments
6 pages, double column; v2 Schwarzschild example improved, thereby demonstrating that Yang-Baxter deformations can be extended to non-coset geometries