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# Holographic R磂nyi entropy for two-dimensional N=(2,2) superconformal field theory

## Abstracts

 We investigate the holographic R?enyi entropy for two-dimensional N = (2, 2) superconformal field theory (SCFT), which is dual to N = 2 supergravity in AdS3 background. In SCFT we have the stress tensor,current, and their supersymmetric partners, and in supergravity we have the graviton, vector field, and two gravitinos. We get the R?enyi mutual information of two short intervals on complex plane in expansion by the cross ratio x to order x4, and R?enyi entropy of one interval on torus in expansion by q = exp(?2 /L), with being the inverse temperature and L being the spatial period, to order q2. We calculate in both the supergravity and SCFT sides, and find matches of the results.
Keywords: two-dimensional ;
Recommended references： Zhibin Li,Jia-ju Zhang.(2017).Holographic R磂nyi entropy for two-dimensional N=(2,2) superconformal field theory.[ChinaXiv:201711.02317] (Click&Copy)
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