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Exceptional indices
Journal article

Exceptional indices

Abstract

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 En flavor symmetry, i.e. for the Hilbert series of the multi- instanton moduli space of En.

Authors

Gaiotto D; Razamat SS

Journal

Journal of High Energy Physics, Vol. 2012, No. 5,

Publisher

Springer Nature

Publication Date

June 8, 2012

DOI

10.1007/jhep05(2012)145

ISSN

1126-6708
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