2012-05-30
AUTHORSDavide Gaiotto, Shlomo S. Razamat
ABSTRACTRecently 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. More... »
PAGES145
http://scigraph.springernature.com/pub.10.1007/jhep05(2012)145
DOIhttp://dx.doi.org/10.1007/jhep05(2012)145
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