The Bisognano-Wichmann Theorem for Charged States and the Conformal Boundary of a Black Hole

Abstract

Recent applications of Operator Algebras to Quantum Field Theory on a Curved Spacetime show that the incremental entropy associated with a quantum black hole, due the addition of a short range charge, is quantized proportionally to the logarithm of an integer. This talk first reviews the case of a Rindler black hole and then sketches the case of a spacetime with bifurcate Killing horizon and charges localizable on the horizon. An important tool is the construction of the conformal symmetries on the horizon.

AMS-LaTeX, 7 pages. talk delivered at the conference on ``Mathematical Physics and Quantum Field Theory'', Berkeley, 11-13 June 1999. Electronic Journal of Differential Equations (to appear)