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

Abstract

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

Keywords

Vertex superalgebroid / vertex superalgebra / semi-conformal

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