Integrability from Homotopy Algebras
High Energy Physics - Theory
2026-03-13 v1 Mathematical Physics
math.MP
Abstract
Homotopy algebraic methods have become increasingly influential in studying field theories. We consider semi-holomorphic Chern-Simons theory and its relation with the principal chiral model. In particular, we establish an explicit quasi-isomorphism between the cyclic -algebras governing both theories which directly gives the Lax connection. This provides a concrete example for studying integrability of a two-dimensional system through the homotopy algebraic lens.
Cite
@article{arxiv.2603.12113,
title = {Integrability from Homotopy Algebras},
author = {Luigi Alfonsi and Leron Borsten and Mehran Jalali Farahani and Hyungrok Kim and Martin Wolf and Charles Alastair Stephen Young},
journal= {arXiv preprint arXiv:2603.12113},
year = {2026}
}
Comments
v1: 25 pages