Liouville theory on the pseudosphere: bulk-boundary structure constant

2003/09/30 by Benedicte Ponsot, Bénédicte Ponsot · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/j.physletb.2004.03.025

published as Phys.Lett. B588 (2004) 105-110 · 7 pages; v2: minor typos corrected, references added; v3: discussion extended, cosmetic changes

arxiv created 2004/03/01 · openalex publication_date 2004/04/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Liouville field theory on the pseudosphere is considered (Dirichlet conditions). We compute explicitely the bulk-boundary structure constant with two different methods: first we use a suggestion made by Hosomichi in JHEP 0111 (2001) that relates this quantity directly to the bulk-boundary structure constant with Neumann conditions, then we do a direct computation. Agreement is found.

Citations

• Liouville field theory on a pseudosphere
• Liouville bootstrap via harmonic analysis on a noncompact quantum group
• Infinite conformal symmetry in two-dimensional quantum field theory

Cited by

• (m,n) ZZ branes and the c=1 matrix model
• Non-compact string backgrounds and non-rational CFT