Elliptic genera and vertex operator super algebras

DOI10.3792/pjaa.71.177zbMath0860.17045OpenAlexW4214843985MaRDI QIDQ1917576

Hirotaka Tamanoi

Publication date: 28 April 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.71.177

zbMATH Keywords

modular functionsaffine Lie algebrasVirasoro algebrasKähler manifoldselliptic genusRiemannian spin manifoldvertex operator super algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Superalgebras (17A70) Elliptic genera (58J26) Bordism and cobordism theories and formal group laws in algebraic topology (55N22)

Related Items (3)

Elliptic genera and vertex operator super algebras ⋮ An analytical approach to the equivariant index and Witten genus on spin manifolds ⋮ Genera defined by hyperelliptic integrals and Siegel modular functions

Cites Work

• Sur les genres multiplicatifs définis par des intégrales elliptiques. (On multiplicative genera defined by elliptic integrals)
• Elliptic genera, involutions, and homogeneous spin manifolds
• Elliptic genera and vertex operator super algebras
• Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
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