Relation between the 4d superconformal index and the S3 partition function View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-09

AUTHORS

Yosuke Imamura

ABSTRACT

A relation between the 4d superconformal index and the S3 partition function is studied with focus on the 4d and 3d actions used in localization. In the case of vanishing Chern-Simons levels and round S3 we explicitly show that the 3d action is obtained from the4d action by dimensional reduction up to terms which do not affect the exact results. By combining this fact and a recent proposal concerning a squashing of S3 and SU(2) Wilson line, we obtain a formula which gives the partition function depending on the Weyl weight of chiral multiplets, real mass parameters, FI parameters, and a squashing parameter as a limit of the index of a parent 4d theory. More... »

PAGES

133

References to SciGraph publications

  • 2007-10. An Index for 4 Dimensional Super Conformal Theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2011-06. Elliptic Hypergeometry of Supersymmetric Dualities in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2007-11-16. Counting BPS operators in gauge theories: quivers, syzygies and plethystics in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03. Exact results for Wilson loops in superconformal Chern-Simons theories with matter in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-03. Notes on SUSY gauge theories on three-sphere in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-03. On the superconformal index of IR fixed points. A holographic check in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-09. From Weak to Strong Coupling in ABJM Theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2011-05. SUSY gauge theories on squashed three-spheres in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-05. Calculating the partition function of gauge theories on S3 and AdS/CFT correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-10. Nonperturbative tests of three-dimensional dualities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-06. Towards the F-theorem: field theories on the three-sphere in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep09(2011)133

    DOI

    http://dx.doi.org/10.1007/jhep09(2011)133

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1023481793


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