Three lectures on 3-algebras
arXiv:0812.2865
Abstract
These notes are based on lectures given in Valencia in October 2008 and in Stockholm in November 2008, in the framework of the Nordita workshop "Geometrical aspects of String Theory". We introduce the notion of a metric 3-Lie algebra and review some of the classification results. We explain the deconstruction of metric 3-Lie algebras in Lie algebraic terms and introduce a general framework in which to describe other 3-algebras of relevance in the description of three-dimensional superconformal Chern-Simons theories, particularly those with N=6. The emphasis throughout is on the general ideas and concrete examples.
15 pages
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Cited by in corpus (8)
- n-ary algebras: a review with applications
- Classification of simple linearly compact n-Lie superalgebras
- Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
- Nambu Bracket for M Theory
- Simplicity in the Faulkner construction
- On a class of n-Leibniz deformations of the simple Filippov algebras
- Fuzzy spaces from tensor models, cyclicity condition, and n-ary algebras
- 3-Leibniz bialgebra in Chern-Simons gauge theories, multiple M2 to D2 branes and vice versa