From the 1 of 5 linked papers with an AI index.
5 papers
Computational homological methods for integrable field theories
Marco Benini, Ryan A. Cullinan, Alexander Schenkel +1
The paper develops explicit computational tools using homotopy transfer of cyclic L∞‑algebras to construct 2‑dimensional integrable field theories from 4‑dimensional semi‑holomorph…
The homological algebra of 2d integrable field theories
Marco Benini, Alexander Schenkel, Benoit Vicedo
This article provides a detailed and rigorous study of semi-holomorphic Chern-Simons theories and their associated integrable field theories from the homological perspect…
The 3d mixed BF Lagrangian 1-form: a variational formulation of Hitchin's integrable system
Vincent Caudrelier, Derek Harland, Anup Anand Singh +1
We introduce the concept of gauged Lagrangian -forms, extending the notion of Lagrangian -forms to the setting of gauge theories. This general formalism is applied to a natur…
Full universal enveloping vertex algebras from factorisation
Benoit Vicedo
We give a systematic construction of the symmetries, or observables in the vacuum sector, of a full conformal field theory on an arbitrary real two-dimensional conformal manifold $…
5d 2-Chern-Simons theory and 3d integrable field theories
Alexander Schenkel, Benoit Vicedo
The -dimensional semi-holomorphic Chern-Simons theory of Costello and Yamazaki provides a gauge-theoretic origin for the Lax connection of -dimensional integrable field theor…