Higgs branch localization of 3d N=2 theories

Abstract

We study N=2 supersymmetric gauge theories on squashed 3-sphere and S^1xS^2. Recent studies have shown that the partition functions in a class of N=2 theories have factorized forms in terms of vortex and anti-vortex partition functions by explicitly evaluating matrix integrals obtained from Coulomb branch localization. We directly derive this structure by performing Higgs branch localization. It turns out that more general N=2 theories have this factorization property. We also discuss the factorization of supersymmetric Wilson loop.

34 pages, no figure; v3:some explanations improved

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• Exact ABJM Partition Function from TBA
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Cited by in corpus (48)

• Higgs branch localization in three dimensions
• Dual Boundary Conditions in 3d SCFT's
• Factorisation and holomorphic blocks in 4d
• Localization of 3d $\mathcal{N}=2$ Supersymmetric Theories on $S^1\times D^2$
• Higgs branch localization of $\mathcal{N}=1$ theories on $S^3\times S^1$
• Universal 3d Cardy Block and Black Hole Entropy
• Schur correlation functions on $S^3\times S^1$
• Holomorphic blocks and the 5d AGT correspondence
• Intersecting Surface Defects and Two-Dimensional CFT
• How to resum perturbative series in 3d N=2 Chern-Simons matter theories
• Boundaries, Vermas, and Factorisation
• Quantum vortices, M2-branes and black holes
• Supersymmetric localization in two dimensions
• Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• Localisation on Sasaki-Einstein manifolds from holomophic functions on the cone
• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• Factorization of 4d N=1 superconformal index
• Heterotic Surface Defects and Dualities from 2d/4d Indices
• Basic hypergeometry of supersymmetric dualities
• Supersymmetric index on T^2 x S^2 and elliptic genus
• Supersymmetric solutions and Borel singularities for N=2 supersymmetric Chern-Simons theories
• Dualities for three-dimensional $\mathcal{N}=2$ $SU(N_c)$ chiral adjoint SQCD
• Superfield theories on $S^3$ and their localization
• Picard-Lefschetz decomposition and Cheshire Cat resurgence in 3D $\mathcal{N}=2$ field theories
• 3d Expansions of 5d Instanton Partition Functions
• On Higgs Branch Localization of Seiberg-Witten Theories on Ellipsoid
• Bootstrapping the $S^5$ partition function
• Resurgence and Lefschetz thimble in 3d N=2 supersymmetric Chern-Simons matter theories
• Gauge origami and quiver W-algebras
• 3d N=2 Chern-Simons-matter theory, Bethe ansatz, and quantum K-theory of Grassmannians
• Non-perturbative Tests of Duality Cascades in Three Dimensional Supersymmetric Gauge Theories
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Shifted quantum groups and matter multiplets in supersymmetric gauge theories
• Localization and Non-Renormalization in Chern-Simons Theory
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• Elliptic Genus Derivation of 4d Holomorphic Blocks
• Givental J-functions, Quantum integrable systems, AGT relation with surface operator
• Vortex counting and the quantum Hall effect
• Engineering 3D $\mathcal{N}=2$ theories using the quantum affine $\mathfrak{sl}(2)$ algebra
• Reconstructing GKZ via topological recursion
• Intersecting Surface defects and 3d Superconformal indices
• The colored Jones polynomials as vortex partition functions
• Non-Perturbative Schwinger-Dyson Equations for 3d $\mathcal{N}=4$ Gauge Theories
• Factorization of the 3d superconformal index with an adjoint matter
• N=2 Chern-Simons-Matter Theories Without Vortices
• Localization of four-dimensional super Yang-Mills theories compactified on Riemann surface
• Anomalies and Holomorphy in Supersymmetric Chern-Simons-Matter Theories