BPS orientifold planes from crosscap states in Calabi-Yau compactifications

Abstract

We use the results of hep-th/0007174 on the simple current classification of open unoriented CFTs to construct half supersymmetry preserving crosscap states for rational Calabi-Yau compactifications. We show that the corresponding orientifold fixed planes obey the BPS-like relation M=exp(i*phi)Q. To prove this relation, it is essential that the worldsheet CFT properly includes the degrees of freedom from the uncompactified space-time component. The BPS-phase phi can be identified with the automorphism type of the crosscap states. To illustrate the method we compute crosscap states in Gepner models with each k_i odd.

19 pages, LaTeX; text corrected and improved; section 4 rewritten and expanded to clarify calculations; results unchanged

References in corpus (2)

• Crosscaps in Gepner Models and Type IIA Orientifolds
• Orientifolds, Unoriented Instantons and Localization

Cited by in corpus (8)

• Chiral Supersymmetric Standard Model Spectra from Orientifolds of Gepner Models
• TFT construction of RCFT correlators II: Unoriented world sheets
• Orientifolds of Gepner Models
• Chiral Supersymmetric Gepner Model Orientifolds
• Supersymmetric Orientifolds of Gepner Models
• Crosscaps in Gepner Models and Type IIA Orientifolds
• A Note on Partition Functions of Gepner Model Orientifolds
• Permutation Orientifolds of Gepner Models