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

Abstract

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.

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

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