Counting Higher Genus Curves with Crosscaps in Calabi-Yau Orientifolds

Details Counting Higher Genus Curves with Crosscaps in Calabi-Yau Orientifolds Counting Higher Genus Curves with Crosscaps in Calabi-Yau Orientifolds

2004-05-10

arxiv.org/abs/hep-th/0405083v3

JHEP0412:035,2004

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 18 figures, some corrections in section 5

Scientific paper

10.1088/1126-6708/2004/12/035

We compute all loop topological string amplitudes on orientifolds of local Calabi-Yau manifolds, by using geometric transitions involving SO/Sp Chern-Simons theory, localization on the moduli space of holomorphic maps with involution, and the topological vertex. In particular we count Klein bottles and projective planes with any number of handles in some Calabi-Yau orientifolds.

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