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Exceptional indices
DOI:10.1007/JHEP05(2012)145.png)
Abstract
En 中文
Recently a prescription to compute the superconformal index for all theories of class S was proposed. In this paper we discuss some of the physical information which can be extracted from this index. We derive a simple criterion for the given theory of class S to have a decoupled free component and for it to have enhanced flavor symmetry. Furthermore, we establish a criterion for the good, the bad, and the ugly trichotomy of the theories. After interpreting the prescription to compute the index with non-maximal flavor symmetry as a residue calculus we address the computation of the index of the bad theories. In particular we suggest explicit expressions for the superconformal index of higher rank theories with E-n flavor symmetry, i.e. for the Hilbert series of the multi-instanton moduli space of E-n.
Keywords:
Supersymmetry and Duality
Supersymmetric gauge theory
Extended Supersymmetry
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W

