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

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.

24 pages

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Cited by in corpus (1)

• Ersatz gravity and black-hole thermodynamics from Manin gauge theory with noncompact gauge group