AdS3 Gravitational Instantons from Conformal Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, minor corrections

Scientific paper

10.1142/S0217732399002030

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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