Boundary action of the H +3 model

Abstract

We find the boundary action for Euclidean AdS 2 D-branes in H +3. This action is consistent with the D-branes' symmetries and with the H +3-Liouville relation for disc correlators. It can be used for performing free-field calculations in the H +3 model with boundaries. We explicitly perform the Coulomb-like integrals which appear in the free-field calculation of the bulk one-point function, and find agreement with previously known conformal bootstrap results.