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

Fuente: arXiv
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Autores principales: Arvanitakis, Alex S., Borsten, Leron, Kanakaris, Dimitri, Kim, Hyungrok
Formato: Preprint
Publicado: 2025
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author Arvanitakis, Alex S.
Borsten, Leron
Kanakaris, Dimitri
Kim, Hyungrok
author_facet Arvanitakis, Alex S.
Borsten, Leron
Kanakaris, Dimitri
Kim, Hyungrok
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20251
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Homotopy Manin Theories: Generalising Third-Way, Yang-Mills and Integrable Sigma Models
Arvanitakis, Alex S.
Borsten, Leron
Kanakaris, Dimitri
Kim, Hyungrok
High Energy Physics - Theory
Mathematical Physics
70S15 (Primary) 17B62, 81R12, 17B81 (Secondary)
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.
title Homotopy Manin Theories: Generalising Third-Way, Yang-Mills and Integrable Sigma Models
topic High Energy Physics - Theory
Mathematical Physics
70S15 (Primary) 17B62, 81R12, 17B81 (Secondary)
url https://arxiv.org/abs/2502.20251