D-branes in N=2 Liouville and its mirror

TL;DR

This paper investigates D-branes in mirror pairs of N=2 Liouville and SL(2,R)/U(1) theories, constructing various branes and analyzing their spectra and correlators to deepen understanding of their duality and boundary states.

Contribution

It provides explicit constructions of D0, D1, and D2 branes in these theories using boundary state methods, highlighting the role of primaries and poles in correlators.

Findings

Constructed D-branes in N=2 Liouville and SL(2,R)/U(1) models.

Analyzed decoupling of poles in correlators for localized and extended branes.

Clarified the role of descendant primaries in D-brane spectra.

Abstract

We study D-branes in the mirror pair N=2 Liouville / supersymmetric SL(2,R)/U(1) coset superconformal field theories. After revisiting the duality between the two models, we build D0, D1 and D2 branes, on the basis of the boundary state construction for the Euclidean AdS(3) conformal field theory. We also construct D0-branes in an orbifold that rotates the angular direction of the cigar. We show how the poles of correlators associated to localized states and bulk interactions naturally decouple in the one-point functions of localized and extended branes. We stress the role played in the analysis of D-brane spectra by primaries in SL(2,R)/U(1) which are descendents of the parent theory.