Exceptional indices View Full Text


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Article Info

DATE

2012-05-30

AUTHORS

Davide Gaiotto, Shlomo S. Razamat

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. More... »

PAGES

145

References to SciGraph publications

  • 2007-06-06. An Index for 4 Dimensional Super Conformal Theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2010-01-22. Liouville Correlation Functions from Four-Dimensional Gauge Theories in LETTERS IN MATHEMATICAL PHYSICS
  • 2007-12-28. S-duality in N = 2 supersymmetric gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-08-24. The superconformal index of the E6 SCFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-01-15. A holographic computation of the central charges of d = 4, 𝒩 = 2 SCFTs in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-12-01. Argyres-Seiberg Duality and the Higgs Branch in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2011-03-16. Elliptic Hypergeometry of Supersymmetric Dualities in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2010-03-08. S-duality and 2d topological QFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-06-28. The Hilbert series of the one instanton moduli space in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-11-22. Tinkertoys for Gaiotto duality in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-09-09. Webs of five-branes and 𝒩 = 2 superconformal field theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-05-28. SQCD: a geometric aperçu in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-10-03. Counting gauge invariant operators in SQCD with classical gauge groups in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep05(2012)145

    DOI

    http://dx.doi.org/10.1007/jhep05(2012)145

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1042516890


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