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

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...

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Bibliographic Details
Published inCommunications in mathematical physics Vol. 323; no. 3; pp. 1185 - 1227
Main Authors Alim, Murad, Cecotti, Sergio, Córdova, Clay, Espahbodi, Sam, Rastogi, Ashwin, Vafa, Cumrun
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2013
Subjects
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Gauge Theory
Modulus Space
Riemann Surface
Marked Point
Central Charge
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Summary: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-013-1789-8