Elena Poletaeva
Abstract
We realize the exceptional N=6 superconformal algebra, spanned by 32 fields, inside the Lie superalgebra of pseudodifferential symbols on the supercircle S1∣3. Correspondingly, we obtain two nonisomorphic one-parameter families of irreducible representations of this superconformal algebra in a superspace spanned by 8 fields.
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We realize the exceptional N=6 superconformal algebra, spanned by 32 fields, inside the Lie superalgebra of pseudodifferential symbols on the supercircle S1∣3. Correspondingly, we obtain two nonisomorphic one-parameter families of irreducible representations of this superconformal algebra in a superspace spanned by 8 fields.
Key concepts: Superconformal algebra, N = 2 superconformal algebra, Superspace, Lie superalgebra, Algebra over a field, Superalgebra, Supersymmetry algebra, Mathematics