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Title: Coulomb branches with complex singularities

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. Here 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.

Authors:
 [1];  [2]
  1. Univ. of Cincinnati, Cincinnati, OH (United States). Physics Dept.; California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  2. Univ. of Texas, Austin, TX (United States). Physics Dept.
Publication Date:
Research Org.:
Univ. of Cincinnati, Cincinnati, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1499180
Grant/Contract Number:  
SC0011784
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Differential and Algebraic Geometry; Discrete Symmetries; Extended Supersymmetry; Supersymmetric Gauge Theory

Citation Formats

Argyres, Philip C., and Martone, Mario. Coulomb branches with complex singularities. United States: N. p., 2018. Web. doi:10.1007/jhep06(2018)045.
Argyres, Philip C., & Martone, Mario. Coulomb branches with complex singularities. United States. doi:10.1007/jhep06(2018)045.
Argyres, Philip C., and Martone, Mario. Fri . "Coulomb branches with complex singularities". United States. doi:10.1007/jhep06(2018)045. https://www.osti.gov/servlets/purl/1499180.
@article{osti_1499180,
title = {Coulomb branches with complex singularities},
author = {Argyres, Philip C. and Martone, Mario},
abstractNote = {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. Here 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.},
doi = {10.1007/jhep06(2018)045},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2018,
place = {United States},
year = {2018},
month = {6}
}

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Cited by: 6 works
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