It is argued that the degrees of freedom responsible for the Bekenstein-Hawking entropy of a black hole in induced gravity are described by two-dimensional quantum field theory defined on the bifurcation surface of the horizon. This result is proved for a class of induced gravity models with scalar, spinor, and vector heavy constituents.

• Received 10 June 1998

DOI:https://doi.org/10.1103/PhysRevD.58.124009