Frontiers of Mathematics in China >
Semi-conformal structure on certain vertex superalgebras associated to vertex superalgebroids
Received date: 20 Aug 2019
Accepted date: 09 Sep 2019
Published date: 15 Oct 2019
Copyright
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.
Key words： Vertex superalgebroid; vertex superalgebra; semi-conformal
Ming LI . Semi-conformal structure on certain vertex superalgebras associated to vertex superalgebroids[J]. Frontiers of Mathematics in China, 2019 , 14(5) : 881 -906 . DOI: 10.1007/s11464-019-0789-1
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