Liouville Field Theory on an Unoriented Surface

Abstract

Liouville field theory on an unoriented surface is investigated, in particular, the one point function on a RP^2 is calculated. The constraint of the one point function is obtained by using the crossing symmetry of the two point function. There are many solutions of the constraint and we can choose one of them by considering the modular bootstrap.

13 pages, no figures, LaTeX, minor changes, equations in section 4 are corrected

References in corpus (3)

• Holographic RG Flow on the Defect and g-Theorem
• Notes on Orientifolds of Rational Conformal Field Theories
• Are there really any AdS_2 branes in the euclidean (or not) AdS_3?

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• The Cap in the Hat: Unoriented 2D Strings and Matrix(-Vector) Models
• Tadpole Cancellation in Unoriented Liouville Theory
• Crosscap states in N=2 Liouville theory
• Orientifolds in N=2 Liouville Theory and its Mirror
• Universal Dynamics in Non-Orientable CFT${}_2$