Boundary Liouville theory at c=1

Details Boundary Liouville theory at c=1 Boundary Liouville theory at c=1

2004-09-24

arxiv.org/abs/hep-th/0409256v2

JHEP0505:025,2005

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 1 figure. Minor error corrected, slight change in result (1.6)

Scientific paper

10.1088/1126-6708/2005/05/025

The c=1 Liouville theory has received some attention recently as the Euclidean version of an exact rolling tachyon background. In an earlier paper it was shown that the bulk theory can be identified with the interacting c=1 limit of unitary minimal models. Here we extend the analysis of the c=1-limit to the boundary problem. Most importantly, we show that the FZZT branes of Liouville theory give rise to a new 1-parameter family of boundary theories at c=1. These models share many features with the boundary Sine-Gordon theory, in particular they possess an open string spectrum with band-gaps of finite width. We propose explicit formulas for the boundary 2-point function and for the bulk-boundary operator product expansion in the c=1 boundary Liouville model. As a by-product of our analysis we also provide a nice geometric interpretation for ZZ branes and their relation with FZZT branes in the c=1 theory.

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