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arXiv · 2502.20251

Homotopy Manin Theories: Generalising Third-Way, Yang-Mills and Integrable Sigma Models

Alex S. Arvanitakis·Leron Borsten·Dimitri Kanakaris·Hyungrok Kim
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Abstract

Manin theories are a class of non-topological deformations of Chern-Simons theories that naturally realise the third-way mechanism and furthermore admit localisation despite not being supersymmetric in the usual sense. In this paper, we extend this construction to higher dimensions, thereby producing a large class of examples of third-way-type theories. Furthermore, the construction naturally yields Yang-Baxter integrable deformations of the principal chiral model as well as gravitational models various dimensions.

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Alex S. Arvanitakis, Leron Borsten, Dimitri Kanakaris, Hyungrok Kim. 2025-02-27. Homotopy Manin Theories: Generalising Third-Way, Yang-Mills and Integrable Sigma Models. https://doi.org/10.1088/1751-8121%2Fadfc17

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