Supersymmetric Renyi Entropy and Anomalies in Six-Dimensional (1,0) Superconformal Theories

2017/02/20 by Shimon Yankielowicz, Yang Zhou · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep04(2017)128

published as JHEP 1704:128,2017 · 1+27 pages, v2: references added+typos fixed. arXiv admin note: text overlap with arXiv:1512.03008

arxiv created 2017/02/20 · arxiv updated 2017/04/25

Abstract

A closed formula of the universal part of supersymmetric Rényi entropy S_q for six-dimensional (1,0) superconformal theories is proposed. Within our arguments, S_q 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 four dimensions and six dimensions.

Citations

• Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories

Cited by

• C_T for higher derivative conformal fields and anomalies of (1,0) superconformal 6d theories

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