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Remarks on Liouville theory with boundary

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arxiv hep-th/0009138 v1 pith:RPTUMW2C submitted 2000-09-18 hep-th

J. Teschner This is my paper · ORCID
classification hep-th
keywords boundarybootstrapsometheoryliouvilleallowsanaloguebriefly
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The bootstrap for Liouville theory with conformally invariant boundary conditions will be discussed. After reviewing some results on one- and boundary two-point functions we discuss some analogue of the Cardy condition linking these data. This allows to determine the spectrum of the theory on the strip, and illustrates in what respects the bootstrap for noncompact conformal field theories with boundary is richer than in RCFT. We briefly indicate some connections with $U_q(sl(2,R))$ that should help completing the bootstrap.

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