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arXiv · 1710.08449

BPS spectra from BPS graphs

Maxime Gabella
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Abstract

I present a simple graphical method to find the BPS spectra of $A_1$ 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.

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Maxime Gabella. 2017-10-23. BPS spectra from BPS graphs. https://arxiv.org/abs/1710.08449

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