BPS spectrum of Argyres-Douglas theory via spectral network

Abstract

We study the BPS spectrum of four-dimensional $\mathcal{N}=2$ superconformal field theory of Argyres-Douglas type, obtained via twisted compactification of six-dimensional $A_{N-1}$ $(2,0)$ theory on a sphere with an irregular puncture, by using spectral networks. We give strong evidence of the equivalence of $\mathcal{N}=2$ superconformal field theories from six-dimensional theories of different ranks by systematically comparing the chamber structure and wall-crossing phenomena.

56 pages, 150+ color figures; v2: several minor changes

References in corpus (5)

• R-Twisting and 4d/2d Correspondences
• Tinkertoys for Gaiotto Duality
• Comments on scaling limits of 4d N=2 theories
• 2d SCFTs from M2-branes
• Spectral Networks and Snakes

Cited by in corpus (17)

• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Classification of Argyres-Douglas theories from M5 branes
• Surface Defects and Chiral Algebras
• Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
• Argyres-Douglas Theories, the Macdonald Index, and an RG Inequality
• ADE Spectral Networks
• Strong Coupling in F-theory and Geometrically Non-Higgsable Seven-branes
• Kinetic Mixing at Strong Coupling
• Wall-crossing of TBA equations and WKB periods for the third order ODE
• BPS states in the Minahan-Nemeschansky E6 theory
• ADE Spectral Networks and Decoupling Limits of Surface Defects
• Spectral networks and Fenchel-Nielsen coordinates
• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
• Quivers, Line Defects and Framed BPS Invariants
• Topological recursion and uncoupled BPS structures I: BPS spectrum and free energies
• TBA equations and quantum periods for D-type Argyres-Douglas theories
• Thermodynamic Bethe ansatz and wall crossing for deformed supersymmetric quantum mechanics