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Abstract <p>We review some recent developments in 1st order GLSM construction, or so-called Gross–Neveu formalism for sigma models. We recall the general idea behind this framework and describe a 1st order GLSM data from which the general generalized Gross–Neveu model can be constructed, using <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb{C}{{\mathbb{P}}^{{n - 1}}}\)</EquationSource> <!--PhysPNLt2570161Krivorol-m1--> </InlineEquation> 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.</p>

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On First-Order GLSM for Sigma Models

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • V. A. Krivorol

摘要

Abstract

We review some recent developments in 1st order GLSM construction, or so-called Gross–Neveu formalism for sigma models. We recall the general idea behind this framework and describe a 1st order GLSM data from which the general generalized Gross–Neveu model can be constructed, using \(\mathbb{C}{{\mathbb{P}}^{{n - 1}}}\) 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.