BPS states and their reductions View Full Text


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Article Info

DATE

2013-08-02

AUTHORS

Prarit Agarwal, Antonio Amariti, Alberto Mariotti, Massimo Siani

ABSTRACT

We develop a method to identify the BPS states in the Hilbert space of a supersymmetric field theory on a generic curved space which preserves at least two real supercharges. We also propose a one-to-one map between BPS states in d-dimensional field theories and states that contribute to the supersymmetric partition function of a corresponding (d − 1)-dimensional field theory. As an application we obtain the superconformal index on rounded and squashed three spheres, and we show a natural reduction of the respective indices to the three-dimensional exact partition functions. We discuss the validity of the correspondence both at the perturbative and at the non-perturbative level and exploit the idea to uplift the computation of the exact supersymmetric partition function on a general manifold to a higher dimensional index. More... »

PAGES

11

References to SciGraph publications

  • 2007-06-06. An Index for 4 Dimensional Super Conformal Theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1989-09. Quantum field theory and the Jones polynomial in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2011-11-29. Localization of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} = 4 $\end{document} superconformal field theory on S1 × S3 and index in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-11-16. Counting BPS operators in gauge theories: quivers, syzygies and plethystics in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03-17. Exact results for Wilson loops in superconformal Chern-Simons theories with matter in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-08-10. Supersymmetry on curved spaces and holography in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-05-22. Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2011-09-28. Relation between the 4d superconformal index and the S3 partition function in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-03-24. Notes on SUSY gauge theories on three-sphere in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-08-28. Exploring curved superspace in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-05-03. SUSY gauge theories on squashed three-spheres in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-12-03. Reducing the 4d index to the S3 partition function in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-06-24. Rigid supersymmetric theories in curved superspace in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-05-31. The exact superconformal R-symmetry extremizes Z in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep08(2013)011

    DOI

    http://dx.doi.org/10.1007/jhep08(2013)011

    DIMENSIONS

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