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Coulomb branches with complex singularities

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.

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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.

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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
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011784
Simons Foundation506770
Subject Keywords:Differential and Algebraic Geometry; Discrete Symmetries; Extended Supersymmetry; Supersymmetric Gauge Theory
Issue or Number:6
Record Number:CaltechAUTHORS:20180611-145139646
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Official Citation:Argyres, P.C. & Martone, M. J. High Energ. Phys. (2018) 2018: 45.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86975
Deposited By: Tony Diaz
Deposited On:11 Jun 2018 22:05
Last Modified:15 Nov 2021 20:44

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