Solution of the H3+ model on a disc

Abstract

We determine all the correlators of the H3+ model on a disc with AdS2-brane boundary conditions in terms of correlators of Liouville theory on a disc with FZZT-brane boundary conditions. We argue that the Cardy-Lewellen constraints are weaker in the H3+ model than in rational conformal field theories due to extra singularities of the correlators, but strong enough to uniquely determine the bulk two-point function on a disc. We confirm our results by detailed analyses of the bulk-boundary two-point function and of the boundary two-point function. In particular we find that, although the target space symmetry preserved by AdS2-branes is the group SL(2,R), the open string states between two distinct parallel AdS2-branes belong to representations of the universal covering group.

32 pages, v2: minor changes

References in corpus (1)

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

Cited by in corpus (19)

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• A family of solvable non-rational conformal field theories
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• Current-current deformations, conformal integrals and correlation functions
• Disk one-point function for non-rational conformal theories
• Quantum Analytic Langlands Correspondence
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• A Defect in AdS3/CFT2 Duality
• Continuously Crossing u=z in the H3+ Boundary CFT