Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2012)145
Keywords
Supersymmetry and Duality; Supersymmetric gauge theory; Extended Supersymmetry
Categories
Funding
- NSF [PHY-0969448, NSF PHY-0969448, PHY-1125915]
- Roger Dashen membership in the Institute for Advanced Study
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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.
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