Boundary States for D-branes in $AdS_3$

TL;DR

This paper constructs boundary states for D-strings in AdS3, based on continuous representations, and verifies their consistency through Cardy's condition, revealing a universal open string spectrum.

Contribution

It introduces a new class of boundary states for D-branes in AdS3 using twisted conjugacy classes and continuous representations, ensuring their consistency.

Findings

Boundary states for D-strings in AdS3 are constructed.

The boundary states satisfy Cardy's condition.

All D-branes have the same open string spectrum.

Abstract

We construct boundary states representing D-strings in $AdS_3$. These wrap twisted conjugacy classes of SL(2,R), and the boundary states are therefore based on continuous representations only. We check Cardy's condition and find a consistent open string spectrum. The open string spectrum on all the D-branes is the same.