5d superconformal indices at large N and holography View Full Text


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Article Info

DATE

2013-08-19

AUTHORS

Oren Bergman, Diego Rodríguez-Gómez, Gabi Zafrir

ABSTRACT

We propose a general formula for the perturbative large N superconformal index of 5d quiver fixed point theories that have an \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ {{{Ad{S_6}\times {S^4}}} \left/ {{{{\mathbb{Z}}_n}}} \right.} $\end{document} supergravity dual. This index is obtained from the parent theory by projecting to orbifold-invariant states and adding the twisted sector contributions. Our result agrees with expectations from the dual supergravity description. We test our formula against the direct computation of the index for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ {{\mathbb{Z}}_2} $\end{document} and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ {{\mathbb{Z}}_3} $\end{document} and find complete agreement. More... »

PAGES

81

References to SciGraph publications

  • 2007-06-06. An Index for 4 Dimensional Super Conformal Theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2012-10-22. 5-dim superconformal index with enhanced En global symmetry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-01-17. A note on supersymmetric AdS6 solutions of massive type IIA supergravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2000-10-05. Matter coupled F(4) supergravity and the AdS6/CFT5 correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-07-27. 5d quivers and their AdS6 duals in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-12-10. Probing the Higgs branch of 5d fixed point theories with dual giant gravitons in AdS6 in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep08(2013)081

    DOI

    http://dx.doi.org/10.1007/jhep08(2013)081

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1013340370


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