Integrable -Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects
We construct the actions of a very broad family of 2d integrable σ-models. Our starting point is a universal 2d action obtained in [arXiv:2008.01829] using the framework of Costello and Yamazaki based on 4d Chern-Simons theory. This 2d action depends on a pair of 2d fields and , with depending rat...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2021 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211365 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Integrable -Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects. Sylvain Lacroix and Benoît Vicedo. SIGMA 17 (2021), 058, 45 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We construct the actions of a very broad family of 2d integrable σ-models. Our starting point is a universal 2d action obtained in [arXiv:2008.01829] using the framework of Costello and Yamazaki based on 4d Chern-Simons theory. This 2d action depends on a pair of 2d fields and , with depending rationally on an auxiliary complex parameter, which are tied together by a constraint. When the latter can be solved for in terms of , this produces a 2d integrable field theory for the 2d field h whose Lax connection is given by (). We construct a general class of solutions to this constraint and show that the resulting 2d integrable field theories can all naturally be described as -models.
|
|---|---|
| ISSN: | 1815-0659 |