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pith:2026:BUWEMYFTU4DVLVSAEJIMM3HGRU
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Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory

Matthias Blau, Meer Ashwinkumar

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

C1strongest claim

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.

C2weakest assumption

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.

C3one line summary

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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3 papers in Pith

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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

Canonical hash

0d2c4660b3a70755d6402250c66ce68d3de73dfad0b5fd157b2c9363bce29ab2

Aliases

arxiv: 2604.26452 · arxiv_version: 2604.26452v2 · doi: 10.48550/arxiv.2604.26452 · pith_short_12: BUWEMYFTU4DV · pith_short_16: BUWEMYFTU4DVLVSA · pith_short_8: BUWEMYFT
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Canonical record JSON
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