N=5 three-algebras and 5-graded Lie superalgebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, v3: typos corrected, references added, and published version

Scientific paper

10.1063/1.3615953

We discuss a generalization of N=6 three-algebras to N=5 three-algebras in
connection to anti-Lie triple systems and basic Lie superalgebras of type II.
We then show that the structure constants defined in anti-Lie triple systems
agree with those of N=5 superconformal theories in three dimensions.

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