Positive Energy Theorem and Supersymmetry in Exactly Solvable Quantum-Corrected 2D Dilaton-Gravity

Abstract

Extending the work of Park and Strominger, we prove a positive energy theorem for the exactly solvable quantum-corrected 2D 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 LDV we show that this energy functional (if defined on a space-like surface) yields the usual (classical) definition of the ADM mass {\it plus a certain ``quantum"-correction. If defined on a null surface the energy functional yields the Bondi mass. The latter is evaluated careflly and applied to the 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.

30 pages, significantly revised and extended: in particular, the uniqueness of the positive energy functional is proven and the conditions are made more precise. The functional is shown to lead to satisfactory ADM and Bondi masses whose properties are studied in detail. The Bondi mass is evaluated explicitly for the RST shockwave scenario

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Cited by in corpus (8)

• Hamiltonian Approach to 2D Dilaton-Gravities and Invariant Adm Mass
• Nonsingular Black Hole Evaporation and ``Stable'' Remnants
• Hawking Radiation and Energy Conservation in an Evaporating Black Hole
• Two Dimensional Quantum Dilaton Gravity and the Positivity of Energy
• A theory of quantum black holes: non-perturbative corrections and no-veil conjecture
• Generalized Supergravity in Two Dimensions
• The No-Hair Conjecture in 2D Dilaton Supergravity
• Black Hole Physics from Two Dimensional Dilaton Gravity based on $SL(2,R)/U(1)$ Coset Model