Counting Higher Genus Curves with Crosscaps in Calabi-Yau Orientifolds | Zendy

Vincent Bouchard | Zendy; Bogdan Florea | Zendy; Marcos Mariño | Zendy

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Counting Higher Genus Curves with Crosscaps in Calabi-Yau Orientifolds

Author(s) -

Vincent Bouchard,

Bogdan Florea,

Marcos Mariño

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/12/035

Subject(s) - calabi–yau manifold , holomorphic function , moduli space , pure mathematics , vertex (graph theory) , mathematics , genus , string theory , topology (electrical circuits) , physics , combinatorics , mathematical physics , biology , graph , botany

We compute all loop topological string amplitudes on orientifolds of localCalabi-Yau manifolds, by using geometric transitions involving SO/SpChern-Simons theory, localization on the moduli space of holomorphic maps withinvolution, and the topological vertex. In particular we count Klein bottlesand projective planes with any number of handles in some Calabi-Yauorientifolds.Comment: 40 pages, 18 figures, some corrections in section

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