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arXiv · 2604.26452

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

Meer Ashwinkumar·Matthias Blau
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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.

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Meer Ashwinkumar, Matthias Blau. 2026-04-29. Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory. https://doi.org/10.1007/jhep07(2026)123

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