SUSY Lattice Vertex Algebras

Reimundo Heluani; Victor G. Kac

SUSY Lattice Vertex Algebras

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arxiv 0710.1587 v1 pith:W4D4FZOQ submitted 2007-10-08 math.QA math.OA

Reimundo Heluani , Victor G. Kac This is my paper · ORCID

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keywords vertexalgebralatticesusyalgebrasassociatedsimplebilinear

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abstract

We construct and study SUSY lattice vertex algebras. As a simple example, we obtain the simple vertex algebra associated to the vertex algebra $V_c(N3)$ of central charge $c=3/2$, as the SUSY lattice vertex algebra associated to $\mathbb{Z}$ with bilinear form $(a,b) = 2ab$.

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