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arXiv · 2502.07612

On First-Order GLSM for Sigma Models

Viacheslav Krivorol
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Abstract

We review some recent developments in 1-st order GLSM construction, or so-called Gross-Neveu formalism for sigma models. We recall the general idea behind this framework and describe a 1-st order GLSM data from which the general generalized Gross-Neveu model can be constructed, using $\mathbb{CP}^{n-1}$ sigma model as simplest example. Then, we formulate a general statement that answers the question of which generalized Gross-Neveu models are equivalent to sigma models on compact homogeneous Hermitian spaces of classical groups endowed with the normal metrics.

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Viacheslav Krivorol. 2025-02-11. On First-Order GLSM for Sigma Models. https://doi.org/10.1134/s1547477125701614

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