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Homotopy Manin theories: generalising third-way, Yang–Mills and integrable sigma models

Year: 2025
Type: article
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.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,325
OpenAlex ID: W4413462749
FWCI: 0.473
Cites: 49
Cited by: 1
Related to: 10