Positive-energy theorem and supersymmetry in exactly solvable quantum-corrected two-dimensional dilaton gravity

Journal Article · Sun Aug 15 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.1665· OSTI ID:7368964

Bilal, A ^[1]

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1. Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 (United States)

Extending the work of Park and Strominger, we prove a positive-energy theorem for the exactly solvable quantum-corrected two-dimensional dilaton-gravity theories. The positive-energy functional we construct is shown to be unique (within a reasonably broad class of such functionals). For field configurations asymptotic to the linear dilaton vacuum we show that this energy functional (if defined on a spacelike surface) yields the usual (classical) definition of the Arnowitt-Deser-Misner (ADM) mass [ital plus] a certain quantum'' correction. If defined on a null surface the energy functional yields the Bondi mass. The latter is evaluated carefully and applied to the Russo-Susskind-Thorlacius (RST) shock-wave scenario where it is shown to behave as physically expected. Motivated by the existence of a positivity theorem we construct manifestly supersymmetric (semiclassical) extensions of these quantum-corrected dilaton-gravity theories.

• OSTI ID: 7368964
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 48:4; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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