Bosonic vertex representations of the toroidal superalgebras in type D(m,n)

DOI10.1142/S0219498818500573zbMath1412.17011arXiv1703.04487OpenAlexW3211102745MaRDI QIDQ3133335

Naihuan Jing, Chong Bin Xu

Publication date: 13 February 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04487

zbMATH Keywords

vertex operatorsfree fieldstoroidal Lie superalgebra

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

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• Toroidal Lie superalgebras and free field representations
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• Vertex operator representations for toroidal lie algebra of typeB_l
• Integrable highest weight modules over affine superalgebras and Appell's function
• Vertex representations for the \(\nu +1\)-toroidal Lie algebra of type \(B_l\).

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