2006/12/20 by Brandon Bates, Charles F. Doran, Charles Doran +4
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0612228
LaTeX, 59 pages, 21 figures (uses axodraw)
arxiv created 2006/12/20 · openalex publication_date 2006/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study T2 orientifolds and their moduli space in detail. Geometrical insight into the involutive automorphisms of T2 allows a straightforward derivation of the moduli space of orientifolded T2s. Using c=3 Gepner models, we compare the explicit worldsheet sigma model of an orientifolded T2 compactification with the CFT results. In doing so, we derive half-supersymmetry preserving crosscap coefficients for generic unoriented Gepner models using simple current techniques to construct the charges and tensions of Calabi-Yau orientifold planes. For T2s we are able to identify the O-plane charge directly as the number of fixed points of the involution; this number plays an important role throughout our analysis. At several points we make connections with the mathematical literature on real elliptic curves. We conclude with a preliminary extension of these results to elliptically fibered K3s.