On First-Order GLSM for Sigma Models
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912801114554368 |
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| author | Krivorol, Viacheslav |
| author_facet | Krivorol, Viacheslav |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_07612 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On First-Order GLSM for Sigma Models Krivorol, Viacheslav High Energy Physics - Theory Mathematical Physics 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. |
| title | On First-Order GLSM for Sigma Models |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2502.07612 |