Thermalization of Poincar\'{e} Vacuum State and Fermion Emission from AdS_3 Black Holes in Bulk-Boundary Correspondence

TL;DR

This paper explores how the Poincaré vacuum state in boundary 2D CFT thermalizes due to nonlinear transformations in the context of AdS3 black holes, and how this relates to fermion emission and greybody factors.

Contribution

It demonstrates that the Poincaré vacuum state thermalizes through nonlinear coordinate transformations and matches semiclassical results for greybody factors in BTZ black holes.

Findings

Poincaré vacuum state thermalizes in the bulk-boundary correspondence.

Greybody factors agree with semiclassical calculations in special cases.

Nonlinear coordinate transformations induce thermalization of boundary states.

Abstract

The greybody factors for spin 1/2 particles in the BTZ black holes are discussed from 2D CFT in bulk-boundary correspondence. It is found that the initial state of spin 1/2 particle in the BTZ black holes can be described by the Poincar\'{e} vacuum state in boundary 2D CFT, and the nonlinear coordinate transformation causes the thermalization of the Poincar\'{e} vacuum state. For special case, our results for the greybody factors agree with the semiclassical calculation.