Argyres, Philip C. and Martone, Mario (2018) Coulomb branches with complex singularities. Journal of High Energy Physics, 2018 (6). Art. No. 45. ISSN 1126-6708. doi:10.1007/JHEP06(2018)045. https://resolver.caltech.edu/CaltechAUTHORS:20180611-145139646
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Abstract
We construct 4d superconformal field theories (SCFTs) whose Coulomb branches have singular complex structures. This implies, in particular, that their Coulomb branch coordinate rings are not freely generated. Our construction also gives examples of distinct SCFTs which have identical moduli space (Coulomb, Higgs, and mixed branch) geometries. These SCFTs thus provide an interesting arena in which to test the relationship between moduli space geometries and conformal field theory data. We construct these SCFTs by gauging certain discrete global symmetries of N = 4 superYang-Mills (sYM) theories. In the simplest cases, these discrete symmetries are outer automorphisms of the sYM gauge group, and so these theories have lagrangian descriptions as N = 4 sYM theories with disconnected gauge groups.
Item Type: | Article | ||||||||||
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Additional Information: | © 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: April 11, 2018; Accepted: June 7, 2018; Published: June 8, 2018. It is a pleasure to thank C. Beem, T. Bourton, J. Distler, M. Lemos, A. Pini, E. Pomoni, and L. Rastelli for useful discussions. PCA was supported in part by DOE grant DE-SC0011784 and by Simons Foundation Fellowship 506770. MM was supported in part by NSF grant PHY-1151392 and in part by NSF grant PHY-1620610. | ||||||||||
Group: | Walter Burke Institute for Theoretical Physics | ||||||||||
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Subject Keywords: | Differential and Algebraic Geometry; Discrete Symmetries; Extended Supersymmetry; Supersymmetric Gauge Theory | ||||||||||
Issue or Number: | 6 | ||||||||||
DOI: | 10.1007/JHEP06(2018)045 | ||||||||||
Record Number: | CaltechAUTHORS:20180611-145139646 | ||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180611-145139646 | ||||||||||
Official Citation: | Argyres, P.C. & Martone, M. J. High Energ. Phys. (2018) 2018: 45. https://doi.org/10.1007/JHEP06(2018)045 | ||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
ID Code: | 86975 | ||||||||||
Collection: | CaltechAUTHORS | ||||||||||
Deposited By: | Tony Diaz | ||||||||||
Deposited On: | 11 Jun 2018 22:05 | ||||||||||
Last Modified: | 15 Nov 2021 20:44 |
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