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

DOI10.1016/S0393-0440(98)00015-1zbMath0944.32024arXivhep-th/9607029MaRDI QIDQ1299121

C. D. D. Neumann

Publication date: 18 September 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9607029

zbMATH Keywords

generalized Kac-Moody algebra\(N=2\) heterotic stringCalabi-Yau 3- or 4-fold

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Calabi-Yau theory (complex-analytic aspects) (32Q25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Compact complex (3)-folds (32J17) Compact complex (n)-folds (32J18) Other groups and their modular and automorphic forms (several variables) (11F55) Elliptic genera (58J26)

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Cites Work

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