Two-Dimensional Higher Derivative Quantum Gravity with Constant-Curvature Constraint

Physics

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Scientific paper

The quantization of the two-dimensional R2-gravity coupled with conformal matters under the constraint of constant curvature is discussed. The partition function for this system is found for arbitrary genus. It is shown that no critical dimension exists as in the case of the Jackiw-Teitelboim model. In the case of the R2-gravity coupled with fermions described by the Gross-Neveu model a semiclassical solution is constructed which represents a modified version of the CGHS-Witten black hole.

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