Liouville Theory on the Pseudosphere: Bulk-Boundary Structure Constant

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.

7 pages; v2: minor typos corrected, references added; v3: discussion extended, cosmetic changes

References in corpus (3)

• Liouville Field Theory -- A decade after the revolution
• Bulk-Boundary Propagator in Liouville Theory on a Disc
• Boundary Liouville Theory and 2D Quantum Gravity

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