pith:BUWEMYFT
Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory
Deformations of the 2d Breitenlohner-Maison sigma model arise from changes to boundary conditions and the action in a 4d Chern-Simons setup.
arxiv:2604.26452 v2 · 2026-04-29 · hep-th · gr-qc · math-ph · math.MP
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Claims
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.
That deformations of the boundary conditions and action in the 4d Cole-Weck model within 4d Chern-Simons theory produce integrable deformations of the 2d Breitenlohner-Maison sigma model, relying on the established correspondence between the 4d CS framework and the BM model.
Integrable deformations of the Breitenlohner-Maison sigma model are obtained from 4d Chern-Simons theory, corresponding to solutions of the homogeneous and inhomogeneous classical Yang-Baxter equations.
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| First computed | 2026-06-05T01:15:24.931370Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
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0d2c4660b3a70755d6402250c66ce68d3de73dfad0b5fd157b2c9363bce29ab2
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