English

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

Rings and Algebras 2019-04-15 v1 Mathematical Physics Algebraic Geometry math.MP

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.

Keywords

Cite

@article{arxiv.1904.06102,
  title  = {Semi-conformal structure on certain vertex superalgebras associated to vertex superalgebroids},
  author = {Ming Li},
  journal= {arXiv preprint arXiv:1904.06102},
  year   = {2019}
}

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22 pages