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

Roberto Longo
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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.

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Roberto Longo. 2000-01-21. The Bisognano-Wichmann Theorem for Charged States and the Conformal Boundary of a Black Hole. https://arxiv.org/abs/math-ph/0001034

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