Abstract
We describe the defect operator interpretation of the supersymmetric Rényi entropies of superconformal field theories in three, four and five dimensions. The operators involved are supersymmetric codimension-two defects in an auxiliary \( {\mathbb{Z}}_n \) gauge theory coupled to n copies of the SCFT. We compute the exact expectation values of such operators using localization, and compare the results to the supersymmetric Rényi entropy. The agreement between the two implies a relationship between the partition function on a squashed sphere and the one on a round sphere in the presence of defects.
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Nishioka, T., Yaakov, I. Supersymmetric Rényi entropy and defect operators. J. High Energ. Phys. 2017, 71 (2017). https://doi.org/10.1007/JHEP11(2017)071
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DOI: https://doi.org/10.1007/JHEP11(2017)071