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arXiv · 2202.12805

Integrable sigma models on Riemann surfaces

Dmitri Bykov
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Abstract

We consider quantum aspects of a class of generalized Gross-Neveu models, which in special cases reduce to sigma models. We show that, in the case of gauged models, an admissible gauge is $A_\mu=0$, which is a direct analogue of the conformal gauge in string models. Chiral anomalies are a gauge counterpart of the Weyl anomaly, and are required to vanish. Topological effects on the worldsheet lead to an integration over moduli spaces of connections on a Riemann surface. This is an initial step in studying the effects of worldsheet geometry and topology in integrable sigma models.

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Dmitri Bykov. 2022-02-25. Integrable sigma models on Riemann surfaces. https://doi.org/10.1103/physrevd.107.085015

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