Semiclassical Quantization of Two-Dimensional Dilaton Gravity

TL;DR

This paper explores the semiclassical quantization of two-dimensional dilaton gravity, calculating the fixed-area partition function and string susceptibility, aligning with conformal field theory methods.

Contribution

It provides a one-loop semiclassical analysis of 2D dilaton gravity and derives the string susceptibility for arbitrary genus surfaces.

Findings

Partition function computed to one-loop order.

String susceptibility obtained for arbitrary genus.

Results consistent with conformal field theory approaches.

Abstract

Quantization of the dilaton gravity in two dimensions is discussed by a semiclassical approximation. We compute the fixed-area partition function to one-loop order and obtain the string susceptibility on Riemann surfaces of arbitrary genus. Our result is consistent with the approach using techniques of conformal field theories.