Remarks on Liouville theory with boundary

Details Remarks on Liouville theory with boundary Remarks on Liouville theory with boundary

2000-09-18

arxiv.org/abs/hep-th/0009138v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk presented at TMR-conference "Nonperturbative Quantum Effects 2000", 7 pages, LATEX with JHEP proceedings style

Scientific paper

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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