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.
Authors
- L. Borsten (ORCID: https://orcid.org/0000-0001-9008-7725)
- Hyungrok Kim (ORCID: https://orcid.org/0000-0001-7909-4510)
- Dimitri Kanakaris (ORCID: https://orcid.org/0009-0001-7716-851X)
- Alex S. Arvanitakis (ORCID: https://orcid.org/0000-0002-7844-5574)
Institutions
- Vrije Universiteit Brussel (BE)
- University of Hertfordshire (GB)
- Ruđer Bošković Institute (HR)
- International Solvay Institutes (BE)
- Imperial College London (GB)
Publication Details
- Journal
- Journal of Physics A Mathematical and Theoretical
- Published
- 2025-08-15
- DOI
- https://doi.org/10.1088/1751-8121/adfc17
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fonds Wetenschappelijk Onderzoek
- Vrije Universiteit Brussel
- Hrvatska Zaklada za Znanost
- Vlaamse regering