Interactions in the SL(2,R)/U(1) Black Hole Background

TL;DR

This paper computes two- and three-point tachyon scattering amplitudes in the SL(2,R)/U(1) black hole background, revealing connections to non-critical string theory and advancing understanding of string interactions in curved spacetime.

Contribution

It provides explicit calculations of tachyon amplitudes in the SL(2,R)/U(1) black hole, linking them to non-critical string theory scattering processes.

Findings

Explicit two- and three-point tachyon amplitudes calculated.

Identified relation to non-critical string theory amplitudes.

Enhanced understanding of string interactions in black hole backgrounds.

Abstract

We calculate two- and three-point tachyon amplitudes of the SL(2,R)/U(1) two-dimensional Euclidean black hole for spherical topologies in the continuum approach proposed by Bershadsky and Kutasov. We find an interesting relation to the tachyon scattering amplitudes of standard non-critical string theory.