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Entanglement entropy, conformal invariance and extrinsic geometry
Abstract We use the conformal invariance and the holographic correspondence to fully specify the dependence of entanglement entropy on the extrinsic geometry of the 2d surface Σ that separates twoExpand
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Entanglement Entropy of Black Holes
  • S. Solodukhin
  • Physics, Medicine
  • Living reviews in relativity
  • 19 April 2011
The entanglement entropy is a fundamental quantity, which characterizes the correlations between sub-systems in a larger quantum-mechanical system. For two sub-systems separated by a surface theExpand
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Distributional Geometry of Squashed Cones
A regularization procedure developed in [1] for the integral curvature invariants on manifolds with conical singularities is generalized to the case of squashed cones. In general, the squashedExpand
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Conformal field theory interpretation of black hole quasinormal modes.
We obtain exact expressions for the quasinormal modes of various spin for the Bañados-Teitelboim-Zanelli black hole. These modes determine the relaxation time of black hole perturbations. ExactExpand
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A holographic reduction of Minkowski space-time
Abstract Minkowski space can be sliced, outside the light-cone, in terms of Euclidean anti-de Sitter and Lorentzian de Sitter slices. In this paper we investigate what happens when we applyExpand
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Quantum effective action from the AdS / CFT correspondence
Abstract We obtain an Einstein metric of constant negative curvature given an arbitrary boundary metric in three dimensions, and a conformally flat one given an arbitrary conformally flat boundaryExpand
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Conformal description of horizon's states
Abstract The existence of black hole horizon is considered as a boundary condition to be imposed on the fluctuating metrics. The coordinate invariant form of the condition for class of sphericallyExpand
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Holography with Gravitational Chern-Simons
The holographic description in the presence of gravitational Chern-Simons term is studied. The modified gravitational equations are integrated by using the FeffermanGraham expansion and theExpand
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Holography with a gravitational Chern-Simons term
The holographic description in the presence of gravitational Chern-Simons term is studied. The modified gravitational equations are integrated by using the Fefferman-Graham expansion and theExpand
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Universality of quantum entropy for extreme black holes
Abstract We consider the extremal limit of a black hole geometry of the Reissner-Nordstrom type and compute the quantum corrections to its entropy. Universally, the limiting geometry is the directExpand
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