Deformations of 3-algebras

Details Deformations of 3-algebras Deformations of 3-algebras

2009-03-27

arxiv.org/abs/0903.4871v2

J.Math.Phys.50:113514,2009

Physics

High Energy Physics

High Energy Physics - Theory

29 pages (V2: one error corrected: section 5.2 considerably shorter now)

Scientific paper

10.1063/1.3262528

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.

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