6,811 research outputs found
RN/CFT Correspondence From Thermodynamics
Recent studies suggest that in the Kerr/CFT correspondence, much universal
information of the dual CFT, including the central charges and the
temperatures, is fully encoded in the thermodynamics of the outer and inner
horizons of the Kerr(-Newman) black holes. In this paper, we study holographic
descriptions of Reissner-Nordstr\"om (RN) black holes in arbitrary dimensions
by using the thermodynamics method.We refine the thermodynamics method proposed
in arXiv:1206.2015 by imposing the "quantization" condition so that we can fix
the ambiguity in determining the central charges of the dual CFT of RN black
holes. Using the refined thermodynamics method, we find the holographic CFT
duals for the RN black holes, and confirm these pictures by using conventional
analysis of asymptotic symmetry group and the hidden conformal symmetry in the
low-frequency scattering. In particular, we revisit the four-dimensional dyonic
RN black hole and find a novel magnetic picture, besides the known electric CFT
dual picture. We show how to generate a class of dual dyonic pictures by
transformations.Comment: 32 pages, references added, published versio
On short interval expansion of R\'enyi entropy
R\'enyi entanglement entropy provides a new window to study the AdS/CFT
correspondence. In this paper we consider the short interval expansion of
R\'enyi entanglement entropy in two-dimensional conformal field theory. This
amounts to do the operator product expansion of the twist operators. We focus
on the vacuum Verma module and consider the quasiprimary operators constructed
from the stress tensors. After obtaining the expansion coefficients of the
twist operators to level 6 in vacuum Verma module, we compute the leading
contributions to the R\'enyi entropy, to order 6 in the short interval
expansion. In the case of one short interval on cylinder, we reproduce the
first several leading contributions to the R\'enyi entropy. In the case of two
short disjoint intervals with a small cross ratio , we obtain not only the
classical and 1-loop quantum contributions to the R\'enyi entropy to order
, both of which are in perfect match with the ones found in gravity, but
also the leading contributions, which corresponds to 2-loop corrections
in the bulk.Comment: V1, 23 pages, 5 figures; V2, published version, typos corrected,
references adde
Thermodynamics in Black-hole/CFT Correspondence
The area law of Bekenstein-Hawking entropy of the black hole suggests that
the black hole should have a lower-dimensional holographic description. It has
been found recently that a large class of rotating and charged black holes
could be holographically described a two-dimensional (2D) conformal field
theory (CFT). We show that the universal information of the dual CFT, including
the central charges and the temperatures, is fully encoded in the
thermodynamics laws of both outer and inner horizons. These laws,
characterizing how the black hole responds under the perturbation, allows us to
read different dual pictures with respect to different kinds of perturbations.
The remarkable effectiveness of this thermodynamics method suggest that the
inner horizon could play a key role in the study of holographic description of
the black hole.Comment: 8 pages. Essay awarded honourable mention in the Gravity Research
Foundation 2013 Awards for Essays on Gravitatio
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