Supersymmetric Rényi entropy and Anomalies in 6d (1,0) SCFTs

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Abstract

A closed formula of the universal part of supersymmetric Rényi entropy Sq for six-dimensional (1, 0) superconformal theories is proposed. Within our arguments, Sq across a spherical entangling surface is a cubic polynomial of ν = 1/q, with 4 coefficients expressed as linear combinations of the ’t Hooft anomaly coefficients for the R-symmetry and gravitational anomalies. As an application, we establish linear relations between the c-type Weyl anomalies and the ’t Hooft anomaly coefficients. We make a conjecture relating the supersymmetric Rényi entropy to an equivariant integral of the anomaly polynomial in even dimensions and check it against known data in 4d and 6d.

Original languageEnglish
Article number128
JournalJournal of High Energy Physics
Volume2017
Issue number4
DOIs
StatePublished - 1 Apr 2017

Keywords

  • AdS-CFT Correspondence
  • Anomalies in Field and String Theories
  • Conformal Field Theory
  • Holography and condensed matter physics (AdS/CMT)

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