Abelian dualities and line defect indices for 3d gauge theories

Abstract

We find matching pairs of the line defect indices for 3d supersymmetric Abelian gauge theories as strong evidence of dualities of the BPS line operators. They lead to novel duality maps of the BPS line operators for $\mathcal{N}\ge 4$ supersymmetric circular and linear quiver gauge theories which can be realized as brane configurations in Type IIB string theory, including SQED, ADHM and ABJM theories.

arXiv comment71 pages, 14 figures, v2: published version in JHEP

References in corpus (81)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Mirror Symmetry in Three Dimensional Gauge Theories
• Fractional M2-branes
• Coupling a QFT to a TQFT and Duality
• Vortices, Instantons and Branes
• Branes, Superpotentials and Superconformal Fixed Points
• Notes on Superconformal Chern-Simons-Matter Theories
• On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
• Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
• Index for three dimensional superconformal field theories with general R-charge assignments
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces
• A supermatrix model for N=6 super Chern-Simons-matter theory
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Supersymmetric Wilson loops
• Three-Dimensional Gauge Dynamics from Brane Configurations with (p,q)-Fivebrane
• The Hilbert Series of the One Instanton Moduli Space
• Supersymmetry enhancement by monopole operators
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Aspects of N_{T}\geq 2 Topological Gauge Theories and D-Branes
• Down the rabbit hole with theories of class S
• Branes and Supersymmetry Breaking in Three Dimensional Gauge Theories
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• Charges of Monopole Operators in Chern-Simons Yang-Mills Theory
• Chern-Simons and Twisted Supersymmetry in Higher Dimensions
• Why are fractional charges of orientifolds compatible with Dirac quantization?
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• Line Operator Index on S1 $\times$ S3
• Exact results for supersymmetric abelian vortex loops in 2+1 dimensions
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• N=4 Chern-Simons theories with auxiliary vector multiplets
• Generalized symmetries and holography in ABJM-type theories
• Vortex Loop Operators, M2-branes and Holography
• New and old N=8 superconformal field theories in three dimensions
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• Mirror symmetry and line operators
• Complete Intersection Moduli Spaces in N=4 Gauge Theories in Three Dimensions
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Finite-$N$ corrections to the M-brane indices
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
• Wilson loops at large $N$ and the quantum M2 brane
• Supersymmetric Mixed Boundary Conditions in AdS${}_2$ and DCFT${}_1$ Marginal Deformations
• A profusion of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• The moduli space of instantons on an ALE space from 3d $\mathcal{N}=4$ field theories
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• Dualities of Corner Configurations and Supersymmetric Indices
• String theory duals of Wilson loops from Higgsing
• Mirror symmetry of 3d $\mathcal{N}=4$ gauge theories and supersymmetric indices
• Abelian dualities of $\mathcal{N}=(0,4)$ boundary conditions
• Line Defects in Three Dimensional Mirror Symmetry beyond Linear Quivers
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• Notes on hyperloops in N=4 Chern-Simons-matter theories
• BPS Wilson loops and quiver varieties
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• Blocks and Vortices in the 3d ADHM Quiver Gauge Theory
• Dualities and flavored indices of M2-brane SCFTs
• Localization and Duality for ABJM Latitude Wilson Loops
• Supersymmetric vortex loops in 3D gauge theories
• Giant graviton expansions and ETW brane
• Higher Rank ABJM Wilson Loops from Matrix Models
• Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle
• Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Abelian mirror symmetry of $\mathcal{N}=(2,2)$ boundary conditions
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• M2-M5 giant graviton expansions
• ADHM Wilson line defect indices
• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• ${\text{AdS}}_4$ Holography and the Hilbert Scheme

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