en
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 find many interesting characteristic properties that these putative theories satisfy which may behelpful in proving or disproving their existence using other methods.
true
Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
2019-04-10T17:25
2017-06
https://scigraph.springernature.com/explorer/license/
research_article
2017-06-01
http://link.springer.com/10.1007/JHEP06(2017)144
articles
144
University of Cincinnati
University of Cincinnati, Physics Department, PO Box 210011, 45221, Cincinnati, OH, U.S.A.
Martone
Mario
Lü
Yongchao
pub.1090283145
dimensions_id
Philip C.
Argyres
6
Mathematical Sciences
Pure Mathematics
Springer Nature - SN SciGraph project
Journal of High Energy Physics
1029-8479
1126-6708
readcube_id
53323ce1251abb5b3bc8da8892e7c017ca079e05cf9213b90c819dd1cbb1deca
10.1007/jhep06(2017)144
doi
2017