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

✍ Scribed by C.D.D. Neumann

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 409 KB
Volume: 29
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(98)00015-1

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✦ Synopsis

In this paper the elliptic genus for a general Calabi-Yau 4-fold 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.