Vertex algebras, Lie algebras, and superstrings

DOI10.1006/jabr.1997.7235zbMath0947.17010arXivhep-th/9802058OpenAlexW2137931019WikidataQ115395916 ScholiaQ115395916MaRDI QIDQ1383962

Nils R. Scheithauer

Publication date: 8 November 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9802058

zbMATH Keywords

generalized Kac-Moody algebrasNeveu-Schwarz algebravertex superalgebrascompactified Neveu-Schwarz superstring

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Superalgebras (17A70)

Related Items (16)

On a family of vertex operator superalgebras ⋮ Natural construction of ten Borcherds-Kac-Moody algebras associated with elements in \(M_{23}\) ⋮ THE MOONSHINE MODULE FOR CONWAY’S GROUP ⋮ Extended Griess Algebras and Matsuo-Norton Trace Formulae ⋮ Twisted Correlation Functions on Self-sewn Riemann Surfaces via Generalized Vertex Algebra of Intertwiners ⋮ BPS algebras in 2D string theory ⋮ Product-type classes for vertex algebra cohomology of foliations on complex curves ⋮ Genus two partition and correlation functions for fermionic vertex operator superalgebras. I. ⋮ A generalized vertex operator algebra for Heisenberg intertwiners ⋮ Axiomatic Aspects ofN = 2 Vertex Superalgebras with Odd Formal Variables ⋮ Super-moonshine for Conway's largest sporadic group ⋮ Twisted Frobenius identities from vertex operator superalgebras ⋮ The fake monster superalgebra ⋮ A Borcherds-Kac-Moody superalgebra with Conway symmetry ⋮ Contragredient Modules and Invariant Bilinear Forms on Möbius Nonlocal Vertex Algebras ⋮ On the Correspondence Between Mirror-Twisted Sectors for N = 2 Supersymmetric Vertex Operator Superalgebras of the Form V ⊗ V and N = 1 Ramond Sectors of V

Cites Work

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• The monster Lie algebra
• Generalized Kac-Moody algebras
• Generalized vertex algebras and relative vertex operators
• Symmetric invariant bilinear forms on vertex operator algebras
• Monstrous moonshine and monstrous Lie superalgebras
• A characterization of generalized Kac-Moody algebras
• The moduli space of Enriques surfaces and the fake monster Lie superalgebra
• Vertex operator superalgebras
• Vertex algebras, Kac-Moody algebras, and the Monster
• Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
• On axiomatic approaches to vertex operator algebras and modules

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