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A Cardy Formula for Three-Point Coefficients: How the Black Hole Got its Spots
- Publication Year :
- 2016
-
Abstract
- Modular covariance of torus one-point functions constrains the three point function coefficients of a two dimensional CFT. This leads to an asymptotic formula for the average value of light-heavy-heavy three point coefficients, generalizing Cardy's formula for the high energy density of states. The derivation uses certain asymptotic properties of one-point conformal blocks on the torus. Our asymptotic formula matches a dual AdS_3 computation of one point functions in a black hole background. This is evidence that the BTZ black hole geometry emerges upon course-graining over a suitable family of heavy microstates.<br />Comment: 23 pages, 1 Figure
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1608.03284
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP05(2017)160