Boundary three-point function on AdS2 D-branes

Abstract

Using the H3+-Liouville relation, I explicitly compute the boundary three-point function on AdS2 D-branes in H3+, and check that it exhibits the expected symmetry properties and has the correct geometrical limit. I then find a simple relation between this boundary three-point function and certain fusing matrix elements, which suggests a formal correspondence between the AdS2 D-branes and discrete representations of the symmetry group. Concluding speculations deal with the fuzzy geometry of AdS2 D-branes, strings in the Minkowskian AdS3, and the hypothetical existence of new D-branes in H3+.

27 pages, v2: significant clarifications added in sections 4.3 and 5

References in corpus (3)

• Solution of the H3+ model on a disc
• Discrete D-branes in AdS3 and in the 2d black hole
• A correspondence between H3+ WZW and Liouville theories on discs

Cited by in corpus (6)

• Solving the Schwarzian via the Conformal Bootstrap
• Boundary action of the H3+ model
• Minisuperspace limit of the AdS3 WZNW model
• Langlands duality in Liouville-H_3^+ WZNW correspondence
• Disk one-point function for non-rational conformal theories
• Conformal field theories from deformations of theories with $W_n$ symmetry