From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy

2025/01/16 by Huang, Zi-Xiao, Yuan, Ma-Ke, Zhou, Yang · 1 citation
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2501.09498

Abstract

We present a closed-form expression for the contribution of surface defects to the supersymmetric Rényi entropy in six-dimensional (2,0) theories. Our results show that this defect contribution is a linear function of 1/n and is directly proportional to 2b-d₂, where b and d₂ are the surface defect Weyl anomaly coefficients. We also derive a closed-form expression for the defect contribution to the supersymmetric Casimir energy, which simplifies to -d₂ (up to a proportionality constant) in the chiral algebra limit.

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• New punctures for six-dimensional compactifications

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