Boundary action of the H3+ model

TL;DR

This paper derives the boundary action for Euclidean AdS2 D-branes in the H3+ model, enabling free-field calculations and confirming consistency with known conformal bootstrap results.

Contribution

It provides the explicit boundary action for H3+ D-branes, aligning with symmetries and the H3+-Liouville relation, facilitating new computational approaches.

Findings

Derived the boundary action consistent with symmetries.

Performed Coulomb-like integrals matching bootstrap results.

Validated the approach with known conformal bootstrap data.

Abstract

We find the boundary action for Euclidean AdS2 D-branes in H3+. This action is consistent with the D-branes' symmetries and with the H3+-Liouville relation for disc correlators. It can be used for performing free-field calculations in the H3+ 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.