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\(\text{AdS}_3\)/CFT correspondence, Poincaré vacuum state and greybody factors in BTZ black holes.(English)Zbl 0983.83025

Summary: The greybody factors in BTZ black holes are evaluated from 2D CFT in the spirit of \(\text{AdS}_3\)/CFT correspondence. The initial state of black holes in the usual calculation of greybody factors by effective CFT is described as Poincaré vacuum state in 2D CFT. The normalization factor which cannot be fixed in the effective CFT without appealing to string theory is shown to be determined by the normalized bulk-to-boundary Green function. The relation among the greybody factors in different dimensional black holes is exhibited. Two kinds of \((h,\bar h)=(1,1)\) operators which couple with the boundary value of massless scalar field are discussed.

MSC:

83C57 Black holes
81T20 Quantum field theory on curved space or space-time backgrounds
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
83E30 String and superstring theories in gravitational theory

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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