Solution of the H3+ model on a disc

Details Solution of the H3+ model on a disc Solution of the H3+ model on a disc

2006-10-10

arxiv.org/abs/hep-th/0610117v2

JHEP 0701:057,2007

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, v2: minor changes

Scientific paper

10.1088/1126-6708/2007/01/057

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.

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