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From Weyl Anomaly to Universal Defect Casimir Energy and Rényi Entropy
Zi-Xiao Huang1, Ma-Ke Yuan1, Yang Zhou1,2,3
1Fudan University, Department of Physics and Center for Field Theory and Particle Physics, Shanghai 200433, China.
Abstract:
We establish universal relations between surface defect Weyl anomalies, the ground state energy, and entanglement structure in higher-dimensional supersymmetric quantum field theories. As a concrete example, we show that for surface defects in 6d superconformal field theories (SCFTs), the defect contribution to supersymmetric Casimir energy is determined by the combination of b and d_{2}, where b and d_{2} are the surface defect Weyl anomalies. A similar closed-form expression is also derived for the defect contribution to supersymmetric Rényi entropy. The comprehensive method we develop here combines supersymmetric localization, anomaly polynomials, and holography, with applications to broader SCFTs with defects.
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