Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory

Abstract

We derive integrable deformations of the 2d Breitenlohner-Maison (BM) sigma model that describes the stationary, axisymmetric sector of 4d general relativity, as well as higher-rank generalisations thereof, using the framework of 4d Chern-Simons theory. In particular, we consider deformations of the boundary conditions and action of the 4d Cole-Weck model, which lead to deformations of the BM model associated with solutions to the homogeneous and inhomogeneous classical Yang-Baxter equations respectively.

24 pages. Further clarifications. Version accepted for publication in JHEP

References in corpus (3)

• Yang-Baxter sigma models based on the CYBE
• Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
• Integrability in Gravity from Chern-Simons Theory