SeibergWitten geometries for Coulomb branch chiral rings which are not freely generated
Abstract
Coulomb branch chiral rings of N = 2 SCFTs are conjectured to be freely generated. While no counterexample is known, no direct evidence for the conjecture is known either. We initiate a systematic study of SCFTs with Coulomb branch chiral rings satisfying nontrivial relations, restricting our analysis to rank 1. The main result of our study is that (rank1) SCFTs with nonfreely generated CB chiral rings when deformed by relevant deformations, always flow to theories with nonfreely generated CB rings. This implies that if they exist, they must thus form a distinct subset under RG flows. We also nd many interesting characteristic properties that these putative theories satisfy which may be helpful in proving or disproving their existence using other methods.
 Authors:
 Univ. of Cincinnati, OH (United States)
 Publication Date:
 Research Org.:
 Univ. of Cincinnati, OH (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1424739
 Grant/Contract Number:
 SC0011784
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 6; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Conformal and W Symmetry; Conformal Field Theory; Extended Supersymmetry
Citation Formats
Argyres, Philip C., Lü, Yongchao, and Martone, Mario. SeibergWitten geometries for Coulomb branch chiral rings which are not freely generated. United States: N. p., 2017.
Web. doi:10.1007/JHEP06(2017)144.
Argyres, Philip C., Lü, Yongchao, & Martone, Mario. SeibergWitten geometries for Coulomb branch chiral rings which are not freely generated. United States. doi:10.1007/JHEP06(2017)144.
Argyres, Philip C., Lü, Yongchao, and Martone, Mario. 2017.
"SeibergWitten geometries for Coulomb branch chiral rings which are not freely generated". United States.
doi:10.1007/JHEP06(2017)144. https://www.osti.gov/servlets/purl/1424739.
@article{osti_1424739,
title = {SeibergWitten geometries for Coulomb branch chiral rings which are not freely generated},
author = {Argyres, Philip C. and Lü, Yongchao and Martone, Mario},
abstractNote = {Coulomb branch chiral rings of N = 2 SCFTs are conjectured to be freely generated. While no counterexample is known, no direct evidence for the conjecture is known either. We initiate a systematic study of SCFTs with Coulomb branch chiral rings satisfying nontrivial relations, restricting our analysis to rank 1. The main result of our study is that (rank1) SCFTs with nonfreely generated CB chiral rings when deformed by relevant deformations, always flow to theories with nonfreely generated CB rings. This implies that if they exist, they must thus form a distinct subset under RG flows. We also nd many interesting characteristic properties that these putative theories satisfy which may be helpful in proving or disproving their existence using other methods.},
doi = {10.1007/JHEP06(2017)144},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2017,
place = {United States},
year = 2017,
month = 6
}
Web of Science

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