15,545 research outputs found
Real decoupling ghost quantization of the CGHS model for two dimensional black holes
A complete RST quantization of a CGHS model plus Strominger term is carried
out. In so doing a conformal invariant theory with is
found, that is, without ghosts contribution. The physical consequences of the
model are analysed and positive definite Hawking radiation is found.Comment: 14 pages, latex, no figures, marginal errors correcte
Supersymmetry and Positive Energy in Classical and Quantum Two-Dimensional Dilaton Gravity
An supersymmetric version of two dimensional dilaton gravity coupled
to matter is considered. It is shown that the linear dilaton vacuum
spontaneously breaks half the supersymmetries, leaving broken a linear
combination of left and right supersymmetries which squares to time
translations. Supersymmetry suggests a spinorial expression for the ADM energy
, as found by Witten in four-dimensional general relativity. Using this
expression it is proven that is non-negative for smooth initial data
asymptotic (in both directions) to the linear dilaton vacuum, provided that the
(not necessarily supersymmetric) matter stress tensor obeys the dominant energy
condition. A {\it quantum} positive energy theorem is also proven for the
semiclassical large- equations, despite the indefiniteness of the quantum
stress tensor. For black hole spacetimes, it is shown that is bounded from
below by , where is the value of the dilaton at the
apparent horizon, provided only that the stress tensor is positive outside the
apparent horizon. This is the two-dimensional analogue of an unproven
conjecture due to Penrose. Finally, supersymmetry is used to prove positive
energy theorems for a large class of generalizations of dilaton gravity which
arise in consideration of the quantum theory.Comment: 21 page
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