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

被引：11

作者：

Neumann, CDD ^{[1
]}

机构：

[1] Univ Amsterdam, Dept Math, Amsterdam, Netherlands

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1999年 / 29卷 / 1-2期

关键词：

N = 2 heterotic strings; Calabi-Yau; 3-; and; 4-folds; generalized Kac-Moody algebras;

D O I：

10.1016/S0393-0440(98)00015-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：5 / 12

页数：8

共 11 条

[1] AUTOMORPHIC-FORMS ON O-S+2,O-2(R) AND INFINITE PRODUCTS [J].