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

Physics – High Energy Physics – High Energy Physics - Theory

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latex2e, 37 pages, 2 figures; v2: published version, introduction extended

Scientific paper

10.1016/S0550-3213(01)00299-1

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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