Discrete D-branes in AdS3 and in the 2d black hole

TL;DR

The paper explores the relationship between D-branes in Euclidean AdS3 and Liouville theory, proposing new discrete D-branes in AdS3 that correspond to Liouville D-branes and analyzing their implications in the 2D black hole.

Contribution

It introduces new discrete D-branes in Euclidean AdS3 that satisfy shift equations and relate to Liouville theory, expanding understanding of D-branes in curved backgrounds.

Findings

New discrete D-branes in Euclidean AdS3 are proposed.

These D-branes correspond to discrete Liouville D-branes.

Two families of D-branes in the 2D black hole are identified.

Abstract

I show how the AdS2 D-branes in the Euclidean AdS3 string theory are related to the continuous D-branes in Liouville theory. I then propose new discrete D-branes in the Euclidean AdS3 which correspond to the discrete D-branes in Liouville theory. These new D-branes satisfy the appropriate shift equations. They give rise to two families of discrete D-branes in the 2d black hole, which preserve different symmetries.