Recent developments in 2d $\mathcal{N}=(2,2)$ supersymmetric gauge theories

Abstract

We review recent developments in two-dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories focusing on the implementation and applications of localization techniques.

arXiv comment51 pages, 1 figure; v2: minor corrections, reference added

References in corpus (90)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Phases of $N=2$ Theories In Two Dimensions
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Two Dimensional Gauge Theories Revisited
• The Exact Superconformal R-Symmetry Extremizes Z
• Rigid Supersymmetric Theories in Curved Superspace
• SUSY Gauge Theories on Squashed Three-Spheres
• Vortices, Instantons and Branes
• Loop and surface operators in N=2 gauge theory and Liouville modular geometry
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Notes on SUSY Gauge Theories on Three-Sphere
• Supersymmetric vacua and Bethe ansatz
• D-Branes on Calabi-Yau Spaces and Their Mirrors
• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• Integrating Over Higgs Branches
• Partition functions of N=(2,2) gauge theories on S^2 and vortices
• D-particle bound states and generalized instantons
• Elliptic genera of 2d N=2 gauge theories
• The complete superconformal index for N=6 Chern-Simons theory
• Exact Results in D=2 Supersymmetric Gauge Theories
• Vortex Counting and Lagrangian 3-manifolds
• A topologically twisted index for three-dimensional supersymmetric theories
• Quantum integrability and supersymmetric vacua
• Index for three dimensional superconformal field theories with general R-charge assignments
• 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
• On Duality in Supersymmetric Yang-Mills Theory
• Branes and N=2 Theories in Two Dimensions
• Aspects of Non-Abelian Gauge Dynamics in Two-Dimensional N=(2,2) Theories
• Supersymmetry on Curved Spaces and Holography
• Witten Index and Wall Crossing
• Exploring Curved Superspace
• 2d Index and Surface operators
• Supersymmetric Gauge Theories on the Five-Sphere
• 4d Index to 3d Index and 2d TQFT
• D-Branes in Landau-Ginzburg Models and Algebraic Geometry
• Surface Operators in N=2 4d Gauge Theories
• Exact Kahler Potential from Gauge Theory and Mirror Symmetry
• Anomalies, Conformal Manifolds, and Spheres
• Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Elliptic Genera and N=2 Superconformal Field Theory
• Exact Results for 't Hooft Loops in Gauge Theories on S^4
• The $\mathcal{N}=1$ Chiral Multiplet on $T^2\times S^2$ and Supersymmetric Localization
• The equivariant A-twist and gauged linear sigma models on the two-sphere
• Toric reduction and a conjecture of Batyrev and Materov
• Fusion Residues
• Surface Defects and Resolvents
• Exact Results in Supersymmetric Field Theories on Manifolds with Boundaries
• Bethe/Gauge correspondence on curved spaces
• Landau-Ginzburg Realization of Open String TFT
• M2-brane surface operators and gauge theory dualities in Toda
• Comments on N=(2,2) Supersymmetry on Two-Manifolds
• Factorisation and holomorphic blocks in 4d
• Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties
• D-branes from Matrix Factorizations
• Line operators on S^1xR^3 and quantization of the Hitchin moduli space
• GLSM's for partial flag manifolds
• The large N limit of M2-branes on Lens spaces
• Exploring Curved Superspace (II)
• $(0,4)$ dualities
• Vortex partition functions, wall crossing and equivariant Gromov-Witten invariants
• Quantization of Integrable Systems and a 2d/4d Duality
• A New 2d/4d Duality via Integrability
• Cluster algebras from dualities of 2d N=(2,2) quiver gauge theories
• On F-term contribution to effective action
• Modular Constraints on Calabi-Yau Compactifications
• On the reduction of 4d N=1 theories on S^2
• Perturbative Corrections to Kahler Moduli Spaces
• The superconformal index and an elliptic algebra of surface defects
• Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
• Predictions for Gromov-Witten invariants of noncommutative resolutions
• Surface defects, the superconformal index and q-deformed Yang-Mills
• Exact Kahler Potential for Calabi-Yau Fourfolds
• Gauge Theory Dynamics and Kahler Potential for Calabi-Yau Complex Moduli
• New Integrable Models from the Gauge/YBE Correspondence
• N=1 Sigma Models in AdS_4
• Localization of twisted $\mathcal{N}=(0,2)$ gauged linear sigma models in two dimensions
• The Stringy Instanton Partition Function
• Quiver gauge theories and integrable lattice models
• Integrability from 2d N=(2,2) Dualities
• Exact Partition Functions on RP2 and Orientifolds
• The Seiberg-Witten Kahler Potential as a Two-Sphere Partition Function
• New Supersymmetric Localizations from Topological Gravity
• Orbifolds, Defects and Sphere Partition Function
• Semichiral Fields on S^2 and Generalized Kähler Geometry
• Curvature Couplings in $\mathcal{N}=(2,2)$ Nonlinear Sigma Models on $S^2$
• Dynamics of Two-Dimensional $\mathcal{N}=(2,2)$ Supersymmetric Theories with Semichiral Superfields I

Cited by in corpus (7)

• Surface defects and instanton-vortex interaction
• A-twisted correlators and Hori dualities
• Nonperturbative study of dynamical SUSY breaking in $\mathcal{N}=(2,2)$ Yang-Mills
• Remarks on 2d Unframed Quiver Gauge Theories
• Supersymmetric Wilson loops in two dimensions and duality
• Boundary Weyl anomaly of $\mathcal{N}=(2,2)$ superconformal models
• Supersymmetric localization: $\mathcal{N}=(2,2)$ theories on S${}^2$ and AdS${}_2$