BPS Quivers and Spectra of Complete N=2 Quantum Field Theories

Details BPS Quivers and Spectra of Complete N=2 Quantum Field Theories BPS Quivers and Spectra of Complete N=2 Quantum Field Theories

2011-09-22

arxiv.org/abs/1109.4941v1

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, 31 Figures

Scientific paper

We study the BPS spectra of N=2 complete quantum field theories in four dimensions. For examples that can be described by a pair of M5 branes on a punctured Riemann surface we explain how triangulations of the surface fix a BPS quiver and superpotential for the theory. The BPS spectrum can then be determined by solving the quantum mechanics problem encoded by the quiver. By analyzing the structure of this quantum mechanics we show that all asymptotically free examples, Argyres-Douglas models, and theories defined by punctured spheres and tori have a chamber with finitely many BPS states. In all such cases we determine the spectrum.

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