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arXiv · 1704.05110

Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated

Philip C. Argyres·Yongchao Lü·Mario Martone
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Abstract

Coulomb branch chiral rings of $\mathcal N=2$ 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.

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Philip C. Argyres, Yongchao Lü, Mario Martone. 2017-04-17. Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated. https://doi.org/10.1007/jhep06(2017)144

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