AdS3/CFT Correspondence, Poincar\'e Vacuum State and Greybody Factors in BTZ Black Holes
Abstract
The greybody factors in BTZ black holes are evaluated from 2D CFT in the spirit of AdS3/CFT correspondence. The initial state of black holes in the usual calculation of greybody factors by effective CFT is described as Poincar\'e 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, h)=(1,1) operators which couple with the boundary value of massless scalar field are discussed.
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