Positive-energy theorem and supersymmetry in exactly solvable quantum-corrected two-dimensional dilaton gravity
- 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), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 48:4; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
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DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
EVAPORATION
FIELD THEORIES
INVARIANCE PRINCIPLES
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
SHOCK WAVES
SINGULARITY
SUPERSYMMETRY
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS