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In this paper, we analytically calculate the quasinormal modes of scalar, vector, tensor, and spinor perturbations of the warped dS3 black hole. There are two horizons for the warped dS3 black hole, namely, the black hole horizon rb and the cosmological horizon rc. In the calculation, we impose the ingoing boundary condition at the black hole horizon and the outgoing boundary condition at the cosmological horizon. We also investigate the hidden conformai symmetry of the warped dS3 black hole in the region between the black hole horizon and the cosmological horizon rb< r < rc. We use the hidden conformai symmetry to construct the quasinormal modes in an algebraic way and find that the results agree with the analytically ones. It turns out that the frequencies of the quasinormal modes could be identified with the poles in the thermal boundary-boundary correlators. [ABSTRACT FROM AUTHOR]

We investigate the holographic Rényi entropy for two-dimensional N=(2,2) superconformal field theory (SCFT), which is dual to N=2 supergravity in an AdS3 background. In SCFT we have the stress tensor, the current, and their supersymmetric partners, and in supergravity we have the graviton, the vector field, and two gravitinos. We get the Rényi mutual information of two short intervals on the complex plane in expansion by the cross ratio x to order x4, and the Rényi entropy of one interval on a torus in expansion by q=exp(-2πβ/L), with β being the inverse temperature and L being the spatial period, to order q². We calculate on both the supergravity and SCFT sides, and we find matches of the results. [ABSTRACT FROM AUTHOR]