Description of a class of superstring compactifications related to semi- simple Lie algebras

DOI10.1007/BF01217761zbMath0628.53065MaRDI QIDQ1093193

A. M. Perelomov, Dimitri G. Markushevich, Mikhail A. Olshanetsky

Publication date: 1987

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Euler characteristicfundamental grouporbifoldsYukawa couplingsKähler manifoldsCalabi-Yau spacesintersection indicessemisimple Lie-algebrassuperstring compactification schemes

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of global differential geometry to the sciences (53C80)

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Cites Work

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• Toroidal embeddings. I
• Variétés kähleriennes dont la première classe de Chern est nulle
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• THE GEOMETRY OF TORIC VARIETIES
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I