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Title: Seiberg-Witten 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 counter-example is known, no direct evidence for the conjecture is known either. We initiate a systematic study of SCFTs with Coulomb branch chiral rings satisfying non-trivial relations, restricting our analysis to rank 1. The main result of our study is that (rank-1) SCFTs with non-freely generated CB chiral rings when deformed by relevant deformations, always flow to theories with non-freely 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:
 [1];  [1];  [1]
  1. 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 1029-8479
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 Super-symmetry

Citation Formats

Argyres, Philip C., Lü, Yongchao, and Martone, Mario. Seiberg-Witten 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. Seiberg-Witten 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. Tue . "Seiberg-Witten 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 = {Seiberg-Witten 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 counter-example is known, no direct evidence for the conjecture is known either. We initiate a systematic study of SCFTs with Coulomb branch chiral rings satisfying non-trivial relations, restricting our analysis to rank 1. The main result of our study is that (rank-1) SCFTs with non-freely generated CB chiral rings when deformed by relevant deformations, always flow to theories with non-freely 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 = {Tue Jun 27 00:00:00 EDT 2017},
month = {Tue Jun 27 00:00:00 EDT 2017}
}

Journal Article:
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