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High Energy Theory Group Seminar: "Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories" | The Racah Institute of Physics

High Energy Theory Group Seminar: "Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories"

Date: 
Wed, 23/12/201512:00-13:00
Location: 
Kaplun building, Room No. 200
Lecturer: Dr. Yang Zhou
Affiliation: Tel-Aviv University
Abstract:
We propose a closed formula of the
universal part of supersymmetric Renyi
entropy S_q for (2,0) superconformal
theories in six-dimensions. We show that
S_q across a spherical entangling surface is
a cubic polynomial of 1/q, with all
coefficients expressed in terms of the newly
discovered Weyl anomalies a and c. This is
equivalent to a similar statement of the
supersymmetric free energy on conic (or
squashed) six-sphere. We first obtain the
closed formula by promoting the free tensor
multiplet result and then provide an
independent derivation by assuming that
S_q can be written as a linear combination
of 't Hooft anomaly coefficients. We discuss
a possible lower bound a/c>3/7 implied by
our result.
Additional details can be found at the following link.