Crosscaps in Gepner Models and the Moduli space of T2 Orientifolds

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dc.creatorBates, Brandon
dc.creatorDoran, Charles
dc.creatorSchalm, Koenraad
dc.date2006-12-20
dc.date.accessioned2026-07-07T07:36:16Z
dc.date.available2026-07-07T07:36:16Z
dc.descriptionWe study T^2 orientifolds and their moduli space in detail. Geometrical insight into the involutive automorphisms of T^2 allows a straightforward derivation of the moduli space of orientifolded T^2s. Using c=3 Gepner models, we compare the explicit worldsheet sigma model of an orientifolded T^2 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 T^2s 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.
dc.descriptionLaTeX, 59 pages, 21 figures (uses axodraw)
dc.identifierhttps://arxiv.org/abs/hep-th/0612228
dc.identifierhttp://arxiv.org/abs/hep-th/0612228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120370
dc.subjectHigh Energy Physics - Theory
dc.titleCrosscaps in Gepner Models and the Moduli space of T2 Orientifolds
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