Network, cluster coordinates and N = 2 theory II: Irregular singularity

Abstract

Cluster coordinates for a large class of Argyres-Douglas and asymptotical free theories are constructed using network on bordered Riemann surface. Such N = 2 theories are engineered using six dimensional (2, 0) theory on Riemann surface with irregular and regular singularities. The Stokes phenomenon plays an important role in our construction. Our results are expected to be very useful in studying BPS spectrum, wall crossing, and line operators of these theories, etc. In particular, we conjecture that the quiver from the network is the BPS quiver. Moreover, our construction provides a simple way to build the minimal network for cells of positive Grassmannia .

36 pages, 30 figures

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Cited by in corpus (10)

• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• Classification of Argyres-Douglas theories from M5 branes
• Central charges and RG flow of strongly-coupled N=2 theory
• A slow review of the AGT correspondence
• New Directions in Bipartite Field Theories
• Higher laminations, webs and N=2 line operators
• Aspects of line operators of class S theories
• BPS spectrum, wall crossing and quantum dilogarithm identity
• Confinement and duality in supersymmetric gauge theories
• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I