Branes in the 2D black hole

TL;DR

This paper provides an exact analysis of various branes in the Euclidean 2D black hole model, revealing new features due to localized closed string modes and connecting to Liouville theory.

Contribution

It offers the first comprehensive set of boundary states and amplitudes for D-branes in the 2D black hole, extending previous models and exploring dualities.

Findings

Exact boundary states for D0, D1, D2-branes

Identification of new features from localized closed string modes

Connections to Liouville theory and Euclidean AdS3 models

Abstract

We present a comprehensive analysis of branes in the Euclidean 2D black hole (cigar). In particular, exact boundary states and annulus amplitudes are provided for D0-branes which are localized at the tip of the cigar as well as for two families of extended D1 and D2-branes. Our results are based on closely related studies for the Euclidean AdS3 model and, as predicted by the conjectured duality between the 2D black hole and the sine-Liouville model, they share many features with branes in Liouville theory. New features arise here due to the presence of closed string modes which are localized near the tip of the cigar. The paper concludes with some remarks on possible applications.