Notes on Orientifolds of Rational Conformal Field Theories

2002/08/20 by Ilka Brunner, Kentaro Hori · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #hep-th

paper · pdf · doi:10.1088/1126-6708/2004/07/023

published as JHEP 0407 (2004) 023 · 67 pages, 1 figure, LaTeX

arxiv created 2002/08/20 · openalex publication_date 2004/07/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review and develop the construction of crosscap states associated with parity symmetries in rational conformal field theories. A general method to construct crosscap states in abelian orbifold models is presented. It is then applied to rational U(1) and parafermion systems, where in addition we study the geometrical interpretation of the corresponding parities.

Citations

• Orientifolds, Mirror Symmetry and Superpotentials
• Baryons And Branes In Anti de Sitter Space
• THE BOUNDARY AND CROSSCAP STATES IN CONFORMAL FIELD THEORIES
• Consistency Conditions for Orientifolds and D-Manifolds

Cited by

• TFT construction of RCFT correlators II: unoriented world sheets
• WZW Orientifolds and Finite Group Cohomology
• Liouville field theory on an unoriented surface
• Nonsupersymmetric Seiberg duality, orientifold QCD, and noncritical strings