Deformations of 3-algebras
High Energy Physics - Theory
2010-01-15 v2
Abstract
We phrase deformations of n-Leibniz algebras in terms of the cohomology theory of the associated Leibniz algebra. We do the same for n-Lie algebras and for the metric versions of n-Leibniz and n-Lie algebras. We place particular emphasis on the case of n=3 and explore the deformations of 3-algebras of relevance to three-dimensional superconformal Chern--Simons theories with matter.
Cite
@article{arxiv.0903.4871,
title = {Deformations of 3-algebras},
author = {José Figueroa-O'Farrill},
journal= {arXiv preprint arXiv:0903.4871},
year = {2010}
}
Comments
29 pages (V2: one error corrected: section 5.2 considerably shorter now)