Argyres-Douglas matter and N=2 dualities

Abstract

We study S duality of four dimensional N=2 Argyres-Douglas (AD) theory engineered from 6d A_{N-1} (2,0) theory. We find a (p,q) sequence of SCFTs, here (p,q) is co-prime and class S theory defined on sphere corresponds to class (0,1) theory. We represent these theories by a sphere with marked points, and S duality is interpreted as different pants decompositions of the same punctured sphere. The weakly coupled gauge theory description involves gauging AD matter which is represented by three punctured sphere.

arXiv comment38 pages, 24 figures

References in corpus (33)

• N=2 dualities
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Mirror Symmetry in Three Dimensional Gauge Theories
• New N=2 Superconformal Field Theories in Four Dimensions
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• S-duality in N=2 supersymmetric gauge theories
• Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
• R-Twisting and 4d/2d Correspondences
• Mirrors of 3d Sicilian theories
• Wild Quiver Gauge Theories
• Tinkertoys for the D_N series
• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• BPS Structure of Argyres-Douglas Superconformal Theories
• Tinkertoys for the Twisted D-Series
• Classification of Argyres-Douglas theories from M5 branes
• Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories
• Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations
• Classification of complete N=2 supersymmetric theories in 4 dimensions
• Irregular connections and Kac-Moody root systems
• Argyres-Douglas Theories and S-Duality
• More Three Dimensional Mirror Pairs
• Gaiotto Duality for the Twisted A_{2N-1} Series
• Gauge Theory And Wild Ramification
• N=2 Generalized Superconformal Quiver Gauge Theory
• 4d N=2 SCFT and singularity theory Part I: Classification
• A Family of $4D$ $\mathcal{N}=2$ Interacting SCFTs from the Twisted $A_{2N}$ Series
• 4d N=2 SCFT and singularity theory Part II: Complete intersection
• 4d N=2 SCFT from Complete Intersection Singularity
• Mass deformations of four-dimensional, rank 1, N=2 superconformal field theories
• Homological S-Duality in 4d N=2 QFTs
• Higher S-dualities and Shephard-Todd groups

Cited by in corpus (16)

• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters
• On Irregular Singularity Wave Functions and Superconformal Indices
• A slow review of the AGT correspondence
• Nonunitary Lagrangians and unitary non-Lagrangian conformal field theories
• Infinitely many 4d $\mathcal{N}=2$ SCFTs with $a=c$ and beyond
• Schur sector of Argyres-Douglas theory and $W$-algebra
• On the chiral algebra of Argyres-Douglas theories and S-duality
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• Flowing from 16 to 32 Supercharges
• 4d N=2 SCFT and singularity theory Part III: Rigid singularity
• 3d mirror for Argyres-Douglas theories
• W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes
• $\mathcal{N}=2$ SCFT with minimal flavor central charge
• Mixed Hodge structure and $\mathcal{N}=2$ Coulomb branch solution