A survey of recent developments in GLSMs
arXiv:2401.11637 · doi:10.1142/S0217751X24460011
Abstract
In this article we briefly survey some developments in gauged linear sigma models (GLSMs). Specifically, we give an overview of progress on constructions of GLSMs for various geometries, GLSM-based computations of quantum cohomology, quantum sheaf cohomology, and quantum K theory rings, as well as two-dimensional abelian and non-abelian mirror constructions. (Contribution to the proceedings of Gauged Linear Sigma Models@30 (Simons Center, Stony Brook, May 2023).)
arXiv comment20 pages, LaTeX; v2: references added
References in corpus (52)
- Phases of Theories In Two Dimensions
- Mirror Symmetry in Three Dimensional Gauge Theories
- Supersymmetric vacua and Bethe ansatz
- Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
- Partition functions of N=(2,2) gauge theories on S^2 and vortices
- Elliptic genera of 2d N=2 gauge theories
- Exact Results in D=2 Supersymmetric Gauge Theories
- Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
- An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
- Aspects of Non-Abelian Gauge Dynamics in Two-Dimensional N=(2,2) Theories
- (0,2) Landau-Ginzburg Theory
- Comments on twisted indices in 3d supersymmetric gauge theories
- Cluster decomposition, T-duality, and gerby CFT's
- Defects and Quantum Seiberg-Witten Geometry
- Non-birational twisted derived equivalences in abelian GLSMs
- (0,2) Trialities
- Dual Boundary Conditions in 3d SCFT's
- Seifert fibering operators in 3d theories
- Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories
- A Mathematical Theory of the Gauged Linear Sigma Model
- Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties
- (0,2) Mirror Symmetry
- Summing the Instantons in Half-Twisted Linear Sigma Models
- Mirror Symmetry and Toric Geometry in Three-Dimensional Gauge Theories
- Localization of 3d Supersymmetric Theories on
- Notes on Certain (0,2) Correlation Functions
- Three-dimensional supersymmetric gauge theories and partition functions on Seifert manifolds: A review
- Mirror Symmetry in 2+1 and 1+1 Dimensions
- Notes on certain other (0,2) correlation functions
- Half-Twisted Correlators from the Coulomb Branch
- Perturbative Corrections to Kahler Moduli Spaces
- Linear Sigma Models with Torsion
- Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties
- On Orbifolds of (0,2) Models
- A proposal for nonabelian (0,2) mirrors
- From 3d duality to 2d duality
- Quantum K theory of symplectic Grassmannians
- A (0,2) Mirror Map
- Target Spaces from Chiral Gauge Theories
- Computing the Spectrum of a Heterotic Flux Vacuum
- The dualization algorithm at work
- GLSMs for non-Kahler Geometries
- Quantum sheaf cohomology on Grassmannians
- A Mathematical Theory of Quantum Sheaf Cohomology
- Quantum K-Theory of Calabi-Yau Manifolds
- GLSM realizations of maps and intersections of Grassmannians and Pfaffians
- Classical sheaf cohomology rings on Grassmannians
- Hori-mological projective duality
- (0,2) Dualities and the 4-Simplex
- The homological projective dual of Sym^2 P(V)
- (2,2) Geometry from Gauge Theory
- Quantum Sheaf Cohomology and Duality of Flag Manifolds