2017/10/23 by Maxime Gabella, Gabella, Maxime
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #hep-th
paper · pdf · doi:10.48550/arxiv.1710.08449
17 pages, 12 figures
arxiv created 2017/10/30 · arxiv updated 2017/11/01
I present a simple graphical method to find the BPS spectra of A1 theories of class S. BPS graphs provide a bridge between spectral networks and BPS quivers, the two main frameworks for the study of BPS states. Here I show how to essentially read off from a BPS graph the quantum spectrum generator (or BPS monodromy), expressed as a product of quantum dilogarithms. Thanks to the framed wall-crossing phenomenon for line defects, the determination of the BPS spectrum reduces to the computation of quantum parallel transport across the edges of the BPS graph.