SUSY Lattice Vertex Algebras

2007/10/08 by Reimundo Heluani, Heluani, Reimundo, Victor G. Kač +2
Computer Science · Mathematics · #Advanced Algebra and Logic #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #Rings, Modules, and Algebras #math.OA #math.QA

paper · pdf · doi:10.48550/arxiv.0710.1587

arxiv created 2007/10/08 · openalex publication_date 2007/10/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℤ with bilinear form (a,b) = 2ab.

Related

• Supersymmetric extension of universal enveloping vertex algebras
• What is a vertex algebra?
• Vertex Lie algebras, vertex Poisson algebras and vertex algebras
• Representations of a class of lattice type vertex algebras
• Z₃ symmetry and W₃ algebra in lattice vertex operator algebras