The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebras

Details The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebras The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebras

1996-07-03

arxiv.org/abs/hep-th/9607029v1

J.Geom.Phys. 29 (1999) 5-12

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, no figures

Scientific paper

In this paper the elliptic genus for a general Calabi-Yau fourfold is derived. The recent work of Kawai calculating N=2 heterotic string one-loop threshold corrections with a Wilson line turned on is extended to a similar computation where K3 is replaced by a general Calabi-Yau 3- or 4-fold. In all cases there seems to be a generalized Kac-Moody algebra involved, whose denominator formula appears in the result.

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