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arxiv: hep-th/0101116 · v2 · submitted 2001-01-17 · ✦ hep-th · math-ph· math.MP

Unitary representations of SW(3/2,2) superconformal algebra

classification ✦ hep-th math-phmath.MP
keywords algebrarepresentationssuperconformalunitaryalgebrasapproachcalculatedcomplete
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SW(3/2,2) superconformal algebra is W algebra with two Virasoro operators. The Kac determinant is calculated and the complete list of unitary representations is determined. Two types of extensions of SW(3/2,2) algebra are discussed. A new approach to construction of W algebras from rational conformal field theories is proposed.

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