Semi-conformal structure on certain vertex superalgebras associated to vertex superalgebroids

2019/04/12 by Li, Ming
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1904.06102

Abstract

In this paper, we first give the definiton of a vertex superalgebroid. Then we construct a family of vertex superalgebras associated to vertex superalgebroids. As a main result, we find a sufficient and necessary condition that this vertex superalgebras are semi-conformal. In addition, we give an concrete example of this vertex superalgebras and apply our results to this superalgebra.

Related

• Conformal subalgebras of lattice vertex algebras
• Simple conformal superalgebras of finite growth
• N=2 and N=4 Subalgebras of Super Vertex Operator Algebras
• Vertex algebroids and Conformal vertex algebras associated with simple Leibniz algebras
• Structure theory of finite Lie conformal superalgebras