Boundary three-point function on AdS2 D-branes

TL;DR

This paper explicitly computes the boundary three-point function on AdS2 D-branes in H3+ using the H3+-Liouville relation, revealing symmetry properties, geometrical limits, and connections to fusing matrices, with implications for fuzzy geometry and D-branes.

Contribution

It provides the first explicit calculation of the boundary three-point function on AdS2 D-branes in H3+ and uncovers its relation to fusing matrix elements, suggesting a formal correspondence with discrete symmetry representations.

Findings

Boundary three-point function exhibits expected symmetry properties.

The function has the correct geometrical limit.

A relation between the boundary three-point function and fusing matrix elements is established.

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+.