Dilatonic Supergravity in Two Dimensions and the Disappearance of Quantum Black Hole

TL;DR

This paper studies a two-dimensional supergravity model with a dilaton, showing that classical black hole solutions do not persist at the quantum level due to supersymmetric effects, highlighting differences from non-supersymmetric cases.

Contribution

It provides a quantum analysis of dilatonic supergravity in two dimensions, demonstrating the disappearance of classical black hole solutions in the supersymmetric quantum theory.

Findings

Classical solutions satisfy supersymmetric constraints.

Quantum cosmological term vanishes after renormalization.

Quantum black hole solutions are absent in the supersymmetric model.

Abstract

We analyze a supergravity theory coupled to a dilaton and superconformal matters in two dimensions. This theory is classically soluble and we find all the solutions appeared in Callan, Giddings, Harvey and Strominger's dilatonic gravity also satisfy the constraints and the equations of motion in this supersymmetric theory. We quantize this theory by following the procedure of Distler, Hlousek and Kawai. In the quantum action, the cosmological term is renormalized to vanish. As a result, any solution corresponding to classical black hole does not appear in the quantum theory, which should be compared with the non-supersymmetric case.