Crosscaps in Gepner Models and Type IIA Orientifolds

Abstract

As a first step to a detailed study of orientifolds of Gepner models associated with Calabi-Yau manifolds, we construct crosscap states associated with anti-holomorphic involutions (with fixed points) of Calabi-Yau manifolds. We argue that these orientifolds are dual to M-theory compactifications on (singular) seven-manifolds with $G_2$ holonomy. Using the spacetime picture as well as the M-theory dual, we discuss aspects of the orientifold that should be obtained in the Gepner model. This is illustrated for the case of the quintic.

54 pages, 5 tables, Latex file. v2 : Minor changes in the introduction; added 3 references. v3 : 2 References corrected; published version

References in corpus (8)

• Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes
• TFT construction of RCFT correlators II: Unoriented world sheets
• A Moduli Fixing Mechanism in M theory
• Notes on Orientifolds of Rational Conformal Field Theories
• Compact weak G_2-manifolds with conical singularities
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• BPS orientifold planes from crosscap states in Calabi-Yau compactifications
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Cited by in corpus (20)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Supersymmetric Standard Model Spectra from RCFT orientifolds
• Chiral Supersymmetric Standard Model Spectra from Orientifolds of Gepner Models
• Orientifolds of Gepner Models
• Type IIB orientifolds on Gepner points
• Chirality Change in String Theory
• Particle models from orientifolds at Gepner-orbifold points
• The RR charges of A-type Gepner models
• Exotic see-saw mechanism for neutrinos and leptogenesis in a Pati-Salam model
• A Note on Partition Functions of Gepner Model Orientifolds
• BPS orientifold planes from crosscap states in Calabi-Yau compactifications
• Crosscap states in N=2 Liouville theory
• Permutation Orientifolds of Gepner Models
• On Susy Standard-like models from orbifolds of D=6 Gepner orientifolds
• Orientifolds in N=2 Liouville Theory and its Mirror
• Discrete symmetries from hidden sectors
• Permutation Orientifolds
• Fractional Branes in Non-compact Type IIA Orientifolds
• Lattice Realizations of the Open Descendants of Twisted Boundary Conditions for sl(2) A-D-E Models
• Crosscaps in Gepner Models and the Moduli space of T2 Orientifolds