\(\mathcal{N}=5\) three-algebras and 5-graded Lie superalgebras. (English) Zbl 1272.81175
Summary: We discuss a generalization of \(\mathcal{N}=6\) three-algebras to \(\mathcal{N}=5\) 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 \(\mathcal{N}=5\) superconformal theories in three dimensions. {
©2011 American Institute of Physics}
©2011 American Institute of Physics}
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 17A70 | Superalgebras |
| 17B70 | Graded Lie (super)algebras |
| 17B25 | Exceptional (super)algebras |
| 18C15 | Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads |
Keywords:
anti-Lie triple systemReferences:
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