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

2012/07/25 by Dan Xie, Xie, Dan · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1207.6112

openalex publication_date 2012/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 .

Citations

• Total positivity, Grassmannians, and networks
• N=2 Quantum Field Theories and Their BPS Quivers
• Network, Cluster coordinates and N=2 theory I
• Wall-crossing, Hitchin Systems, and the WKB Approximation

Cited by

• Aspects of line operators of class S theories
• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
• Higher laminations, webs and N=2 line operators

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