Liouville field theory on an unoriented surface

2002/10/31 by Yasuaki Hikida
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Constraint (computer-aided design) #Field (mathematics) #Field theory (psychology) #Function (biology) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Modular design #Physics #Point (geometry) #Pure mathematics #Quantum chaos and dynamical systems #Surface (topology) #Symmetry (geometry) #Theoretical and Computational Physics #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/05/002

published as JHEP 0305 (2003) 002 · 13 pages, no figures, LaTeX, minor changes, equations in section 4 are corrected

openalex publication_date 2003/05/02 · arxiv created 2003/09/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Liouville field theory on an unoriented surface is investigated, in particular, the one point function on a RP² 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.

Citations

• Liouville field theory on a pseudosphere
• Liouville bootstrap via harmonic analysis on a noncompact quantum group
• Notes on Orientifolds of Rational Conformal Field Theories
• THE BOUNDARY AND CROSSCAP STATES IN CONFORMAL FIELD THEORIES
• Remarks on Liouville theory with boundary
• Boundary Liouville Field Theory I. Boundary State and Boundary Two-point Function