English

Automorphisms and twisted forms of the N = 1, 2, 3 Lie conformal superalgebras

Mathematical Physics 2013-02-19 v3 Algebraic Geometry math.MP Rings and Algebras

Abstract

We classify the N = 1, 2, 3 superconformal Lie algebras of Schwimmer and Seiberg by means of differential non-abelian cohomology, and describe the general philosophy behind this new technique. The structure of the group (functor) of automorphisms of the corresponding Lie conformal superalgebra is a key ingredient of the proof.

Keywords

Cite

@article{arxiv.1201.5410,
  title  = {Automorphisms and twisted forms of the N = 1, 2, 3 Lie conformal superalgebras},
  author = {Zhihua Chang and Arturo Pianzola},
  journal= {arXiv preprint arXiv:1201.5410},
  year   = {2013}
}