Integrality of instanton numbers and p-adic B-model

Details Integrality of instanton numbers and p-adic B-model Integrality of instanton numbers and p-adic B-model

2006-03-14

arxiv.org/abs/hep-th/0603106v3

Phys.Lett.B637:97-101,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, minor changes

Scientific paper

10.1016/j.physletb.2006.04.012

We study integrality of instanton numbers (genus zero Gopakumar - Vafa invariants) for quintic and other Calabi-Yau manifolds. We start with the analysis of the case when the moduli space of complex structures is one-dimensional; later we show that our methods can be used to prove integrality in general case. We give an expression of instanton numbers in terms of Frobenius map on $p$-adic cohomology ; the proof of integrality is based on this expression.

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