Supersymmetric extension of universal enveloping vertex algebras

2023/08/01 by Suh, Uhi Rinn, Yoon, Sangwon
#17B69 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2308.00693

Abstract

In this paper, we study the construction of the supersymmetric extensions of vertex algebras. In particular, for N = n ∈ ℤ₊, we show the universal enveloping N = n supersymmetric (SUSY) vertex algebra of an N = n SUSY Lie conformal algebra can be extended to an N = n' > n SUSY vertex algebra.

Related

• SUSY Lattice Vertex Algebras
• A unified construction of vertex algebras from infinite-dimensional Lie algebras
• Zhu algebras of superconformal vertex algebras
• Factorization envelopes and enveloping vertex algebras
• Vertex (Lie) algebras in higher dimensions