Sigma models as Gross-Neveu models

Fuente: arXiv
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Autore principale: Bykov, Dmitri
Natura: Preprint
Pubblicazione: 2021
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author Bykov, Dmitri
author_facet Bykov, Dmitri
contents We review the correspondence between integrable sigma models with complex homogeneous target spaces and chiral bosonic (and possibly mixed bosonic/fermionic) Gross-Neveu models. Mathematically, the latter are models with quiver variety phase spaces, which reduce to the more conventional sigma models in special cases. We discuss the geometry of the models, as well as their trigonometric and elliptic deformations, Ricci flow and the inclusion of fermions.
format Preprint
id arxiv_https___arxiv_org_abs_2106_15598
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Sigma models as Gross-Neveu models
Bykov, Dmitri
High Energy Physics - Theory
Mathematical Physics
Differential Geometry
We review the correspondence between integrable sigma models with complex homogeneous target spaces and chiral bosonic (and possibly mixed bosonic/fermionic) Gross-Neveu models. Mathematically, the latter are models with quiver variety phase spaces, which reduce to the more conventional sigma models in special cases. We discuss the geometry of the models, as well as their trigonometric and elliptic deformations, Ricci flow and the inclusion of fermions.
title Sigma models as Gross-Neveu models
topic High Energy Physics - Theory
Mathematical Physics
Differential Geometry
url https://arxiv.org/abs/2106.15598