Integrable -Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• Hauptverfasser: Lacroix, Sylvain, Vicedo, Benoît
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211365
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Integrable -Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects. Sylvain Lacroix and Benoît Vicedo. SIGMA 17 (2021), 058, 45 pages

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...