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

C. D. D. Neumann
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Abstract

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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C. D. D. Neumann. 1996-07-03. The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebras. https://doi.org/10.1016/s0393-0440(98)00015-1

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