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New Symmetries in Two-Dimensional Dilaton Gravity

J. Cruz·J. Navarro-Salas·M. Navarro·C. F. Talavera
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Abstract

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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J. Cruz, J. Navarro-Salas, M. Navarro, C. F. Talavera. 1996-11-22. New Symmetries in Two-Dimensional Dilaton Gravity. https://arxiv.org/abs/gr-qc/9611054

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