Entropy of Killing horizons from Virasoro algebra in D-dimensional extended Gauss–Bonnet gravity
نویسندگان
چکیده
منابع مشابه
Multi-dimensional Virasoro algebra and quantum gravity
I review the multi-dimensional generalizations of the Virasoro algebra, i.e. the non-central Lie algebra extensions of the algebra vect(N) of general vector fields in N dimensions, and its Fock representations. Being the Noether symmetry of background independent theories such as N -dimensional general relativity, this algebra is expected to be relevant to the quantization of gravity. To this e...
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We provide a simple and straightforward procedure for defining a Virasoro algebra based on the diffeomorphisms near a null surface in a space-time and obtain the entropy density of the null surface from its central charge. We use the off-shell Noether current corresponding to the diffeomorphism invariance of a gravitational Lagrangian Lðgab; RabcdÞ and define the Virasoro algebra from its varia...
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On a manifold with boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a (local) Killing horizon, a natural set of boundary conditions leads to a Virasoro subalgebra with a calculable central charge. Conformal field theory methods may then be used to determine the density of st...
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We construct condensate states encoding the continuum spherically symmetric quantum geometry of an isolated horizon in full quantum gravity, i.e. without any classical symmetry reduction, in the group field theory formalism. Tracing over the bulk degrees of freedom, we show how the resulting reduced density matrix manifestly exhibits an holographic behavior. We derive a complete orthonormal bas...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2003
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(03)00082-0