English

Simple conformal superalgebras of finite growth

Quantum Algebra 2007-05-23 v1 Mathematical Physics math.MP Representation Theory

Abstract

In this paper, we construct six families of infinite simple conformal superalgebra of finite growth based on our earlier work on constructing vertex operator superalgebras from graded assocaitive algebras. Three subfamilies of these conformal superalgebras are generated by simple Jordan algebras of types A, B and C in a certain sense.

Keywords

Cite

@article{arxiv.math/9911190,
  title  = {Simple conformal superalgebras of finite growth},
  author = {Xiaoping xu},
  journal= {arXiv preprint arXiv:math/9911190},
  year   = {2007}
}

Comments

40pages, Latex; To appear in Algebra Colloquium