New Symmetries in Two-Dimensional Dilaton Gravity

Details New Symmetries in Two-Dimensional Dilaton Gravity New Symmetries in Two-Dimensional Dilaton Gravity

1996-11-22

arxiv.org/abs/gr-qc/9611054v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Talk given at the XXI International Colloquium on Group Theoretical Methods in Physics. 15--20 July 1996, Goslar, Germany. To

Scientific paper

We present three types of non-conformal symmetries for a wide class of 2D dilaton-gravity models. For the particular CGHS, or string-inspired model, a linear combination of these symmetries is conformal and turns out to be the well-known symmetry which allows to construct the exactly solvable semiclassical RST and BPP models. We show that one of these non-conformal symmetries can be converted into a conformal one by means of a suitable field redefinition involving the metric and the derivatives of the dilaton. As a consequence of this, and by defining a Polyakov-type term in terms of an invariant metric under the symmetry, we are able to provide, for a generic 2D dilaton gravity model, associated semiclassical models which are symmetry invariant.

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