Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory
High Energy Physics - Theory
2026-04-30 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2604.26452,
title = {Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory},
author = {Meer Ashwinkumar and Matthias Blau},
journal= {arXiv preprint arXiv:2604.26452},
year = {2026}
}
Comments
23 pages