Boundary Liouville Field Theory I. Boundary State and Boundary Two-point Function

2000/01/04 by V.A. Fateev, V. Fateev, Fateev, V. +6 · 5 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0001012

25 pages, 2 figures

arxiv created 2000/01/04 · arxiv updated 2009/11/30

Abstract

Liouville conformal field theory is considered with conformal boundary. There is a family of conformal boundary conditions parameterized by the boundary cosmological constant, so that observables depend on the dimensional ratios of boundary and bulk cosmological constants. The disk geometry is considered. We present an explicit expression for the expectation value of a bulk operator inside the disk and for the two-point function of boundary operators. We comment also on the properties of the degenrate boundary operators. Possible applications and further developments are discussed. In particular, we present exact expectation values of the boundary operators in the boundary sin-Gordon model.

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