Duality walls in the 4d N=2 SU(N) gauge theory with 2N flavours

Abstract

S-duality domain walls are extended objects in supersymmetric gauge theories with several rich physical properties. This paper focuses on 3d N=2 gauge theories associated with S-duality walls in the 4d N=2 SU(N) gauge theory with 2N flavours. The theories associated with multiple duality walls are constructed by gluing together a basic building block, which is the theory associated with a single duality wall. We propose the prescription for gluing many copies of such a basic building block together as well as present the prescription for self-gluing. A number of dualities between such theories are discovered and studied using the supersymmetric index. This work generalises the notion of the S-fold theory, which has been so far studied extensively in the context of duality walls in the 4d super-Yang-Mills theory, to the theory with lower amounts of supersymmetry.

arXiv comment41 pages and a number of figures

References in corpus (46)

• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• Solutions Of Four-Dimensional Field Theories Via M Theory
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• The complete superconformal index for N=6 Chern-Simons theory
• The Coulomb Phase of N=2 Supersymmetric QCD
• 3d dualities from 4d dualities
• Index for three dimensional superconformal field theories with general R-charge assignments
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories
• On the Quantum Moduli Space of Vacua of $N=2$ Supersymmetric $SU(N_c)$ Gauge Theories
• The Virtue of Defects in 4D Gauge Theories and 2D CFTs
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• SL(2,R) Chern-Simons, Liouville, and Gauge Theory on Duality Walls
• 4d Index to 3d Index and 2d TQFT
• 3d dualities from 4d dualities for orthogonal groups
• Seiberg-Witten Theories on Ellipsoids
• Generalized Superconformal Index for Three Dimensional Field Theories
• The superconformal index of N=1 class S fixed points
• Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories
• SUSY monopole potentials in 2+1 dimensions
• E-String Theory on Riemann Surfaces
• AGT on the S-duality Wall
• Holographic duals of 3d S-fold CFTs
• Compactifications of ADE conformal matter on a torus
• The Veneziano Limit of N=2 Superconformal QCD: Towards the String Dual of N=2 SU(N_c) SYM with N_f =2 N_c
• Three-dimensional gauge theories with supersymmetry enhancement
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• On Superconformal Characters and Partition Functions in Three Dimensions
• Aspects of Defects in 3d-3d Correspondence
• Janus and J-fold Solutions from Sasaki-Einstein Manifolds
• Multipoint correlation functions in Liouville field theory and minimal Liouville gravity
• Superconformal Index with Duality Domain Wall
• Supersymmetric Gauge Theories on a Squashed Four-Sphere
• Supersymmetric Indices of 3d S-fold SCFTs
• Multivariate Quadratic Transformations and the Interpolation Kernel
• Monopole Quivers and new 3D N=2 dualities
• The moduli spaces of S-fold CFTs
• Variations on S-fold CFTs
• String theory and the 4D/3D reduction of Seiberg duality. A Review
• Branes, partition functions and quadratic monopole superpotentials
• S-duality wall of SQCD from Toda braiding

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• Marginal deformations and RG flows for type IIB S-folds
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• S-duality wall of SQCD from Toda braiding
• Compactifying 5d superconformal field theories to 3d