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BPS Quivers and Spectra of Complete \({\mathcal{N} = 2}\) Quantum Field Theories

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Abstract

We study the BPS spectra of \({\mathcal{N}=2}\) 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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Authors and Affiliations

  1. Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, USA

    Murad Alim, Clay Córdova, Sam Espahbodi, Ashwin Rastogi & Cumrun Vafa

  2. Scuola Internazionale Superiore di Studi Avanzati, Via Bonomea, 265, 34100, Trieste, Italy

    Sergio Cecotti

Authors
  1. Murad Alim
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  2. Sergio Cecotti
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  3. Clay Córdova
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  4. Sam Espahbodi
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  5. Ashwin Rastogi
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  6. Cumrun Vafa
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Corresponding author

Correspondence to Clay Córdova.

Additional information

Communicated by N. A. Nekrasov

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Alim, M., Cecotti, S., Córdova, C. et al. BPS Quivers and Spectra of Complete \({\mathcal{N} = 2}\) Quantum Field Theories. Commun. Math. Phys. 323, 1185–1227 (2013). https://doi.org/10.1007/s00220-013-1789-8

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  • DOI: https://doi.org/10.1007/s00220-013-1789-8

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