AdS3 Gravitational Instantons from Conformal Field Theory
S. Mano
TL;DR
This paper explores the relationship between conformal field theories and gravitational instantons in AdS3 space, revealing how boundary CFT partition functions encode phase transitions in bulk gravity, including AdS and BTZ black hole states.
Contribution
It demonstrates that gravitational instanton partition functions can be derived from boundary CFT partition functions, elucidating the AdS/CFT correspondence in three dimensions.
Findings
Partition functions of gravitational instantons are linked to boundary CFT partition functions.
The phase transition between AdS space and BTZ black hole is reproduced.
High and low temperature limits of CFT partition functions correspond to different bulk geometries.
Abstract
A conformal field theory on the boundary of three-dimensional asymptotic anti-de Sitter spaces which appear as near horizon geometry of D-brane bound states is discussed. It is shown that partition functions of gravitational instantons appear as high and low temperature limits of the partition function of the conformal field theory. The result reproduces phase transition between the anti-de Sitter space and the BTZ black hole in the bulk gravity.
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