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

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

2012-01-25

arxiv.org/abs/1201.5410v3

Communications in Number Theory and Physics, Volume 5, Number 4, 751-777, 2011

Physics

Mathematical Physics

Scientific paper

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.

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