Elliptic genera of two-dimensional \({\mathcal{N} = 2}\) gauge theories with rank-one gauge groups
type: Item
instance of: scholarly article
title: Elliptic genera of two-dimensional \({\mathcal{N} = 2}\) gauge theories with rank-one gauge groups
zbMATH Open document ID: 1312.58008
author: F. Benini
author: Richard Eager
author: Kentaro Hori
author: Yuji Tachikawa
published in: Letters in Mathematical Physics
publication date: 2014-10-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1305.0533
review text: The subject of the paper are field theories on the torus with \(\mathcal{N}=(2,2)\) or \(\mathcal{N}=(0,2)\) supersymmetry and rank-one gauge symmetry, called gauged linear sigma models. These theories allow the computation of the partition function called elliptic genus by supersymmetric localization. This computation is the main content of the paper. Among the explicit examples are the quintic Calabi-Yau, \(\mathcal{N}=(2,2)\) \(\mathrm{SU}(2)\) and \(\mathrm{O}(2)\) gauge theories coupled to \(N\) fundamental chiral multiplets, and a geometric \(\mathcal{N}=(0,2)\) model.
reviewed by: Helmut Rumpf
Mathematics Subject Classification ID: 58J26
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 81S40
Mathematics Subject Classification ID: 81T60
zbMATH DE Number: 6358065
zbMATH Keywords: elliptic genus
zbMATH Keywords: localization
zbMATH Keywords: two-dimensional field theory
zbMATH Keywords: supersymmetry
zbMATH Keywords: partition function
MaRDI profile type: Publication
OpenAlex ID: W1599689756
arXiv ID: 1305.0533
cites work: Elliptic genera and quantum field theory
cites work: Q4729069
cites work: On the Landau-Ginzburg description of \(N=2\) minimal models
cites work: Landau-Ginzburg orbifolds, mirror symmetry and the elliptic genus
cites work: Elliptic genera and \(N=2\) superconformal field theory
cites work: Q4335023
cites work: Q4232442
cites work: Generalization of Calabi-Yau/Landau-Ginzburg correspondence
cites work: Elliptic genera of Landau-Ginzburg models over nontrivial spaces
cites work: ELLIPTIC GENERA OF COMPLETE INTERSECTIONS
cites work: ELLIPTIC GENERA OF COMPLETE INTERSECTIONS IN WEIGHTED PROJECTIVE SPACES
cites work: Issues in topological gauge theory
cites work: Two-dimensional SCFTs from wrapped branes and \(c\)-extremization
cites work: Geometry of \((0,2)\) Landau-Ginzburg orbifolds.
cites work: Duality in two-dimensional \((2,2)\) supersymmetric non-abelian gauge theories
cites work: \((0,2)\) Landau-Ginzburg theory
cites work: Q4003464
cites work: Localization for nonabelian group actions
cites work: Equivariant volumes of non-compact quotients and instanton counting
cites work: Two dimensional gauge theories revisited
cites work: Toric reduction and a conjecture of Batyrev and Materov
cites work: Partition functions of \(\mathcal N=(2,2)\) gauge theories on \(S^2\) and vortices
cites work: Phases of \(N=2\) theories in two dimensions
DOI: 10.1007/S11005-013-0673-Y
description: scientific article; zbMATH DE number 6358065