2016Unpublished venueRequires access

The BMS algebra and black hole information

J.M. van der Ven

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Abstract

As a means of working towards solving the information paradox, we discuss conformal diagrams of evaporating black holes. We generalize the Schwarzschild solution to the asymptotically flat Bondi-metric and give a derivation of its asymptotic symmetry algebra, the BMS algebra. We discuss the interpretation as a charge algebra of zero-energy currents. Finally, we establish the centrally extended BMS-algebra as the semi-simple product of the Virasoro algebra acting on a representation.

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As a means of working towards solving the information paradox, we discuss conformal diagrams of evaporating black holes. We generalize the Schwarzschild solution to the asymptotically flat Bondi-metric and give a derivation of its asymptotic symmetry algebra, the BMS algebra. We discuss the interpretation as a charge algebra of zero-energy currents. Finally, we establish the centrally extended BMS-algebra as the semi-simple product of the Virasoro algebra acting on a representation.

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Available abstract

As a means of working towards solving the information paradox, we discuss conformal diagrams of evaporating black holes. We generalize the Schwarzschild solution to the asymptotically flat Bondi-metric and give a derivation of its asymptotic symmetry algebra, the BMS algebra. We discuss the interpretation as a charge algebra of zero-energy currents. Finally, we establish the centrally extended BMS-algebra as the semi-simple product of the Virasoro algebra acting on a representation.

Key concepts: Virasoro algebra, Algebra representation, Algebra over a field, Central charge, Current algebra, Cellular algebra, Filtered algebra, Symmetric algebra

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