AdS${}_3$/CFT Correspondence, Poincaré 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 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.

13 pages, Latex, no figures, minor corrections, to appear in Phys. Lett. B

References in corpus (4)

• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• Absorption of photons and fermions by black holes in four dimensions
• Three-Dimensional Black Holes and String Theory
• Euclidean Path Integral, D0-Branes and Schwarzschild Black Holes in Matrix Theory

Cited by in corpus (12)

• Large N Field Theories, String Theory and Gravity
• Microscopic Formulation of Black Holes in String Theory
• Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
• Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Exact Results for the BTZ Black Hole
• Logarithmic Operators in AdS_3/CFT_2
• Absorption cross section in warped AdS_3 black hole revisited
• Spectroscopy of Kerr-AdS${}_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation
• Lambda<0 Quantum Gravity in 2+1 Dimensions I: Quantum States and Stringy S-Matrix
• Scalar waves from a star orbiting a BTZ black hole
• Rank-3 finite temperature logarithmic conformal field theory