Unitary representations of SW(3/2,2) superconformal algebra
Doron Gepner, Boris Noyvert
TL;DR
This paper analyzes the SW(3/2,2) superconformal algebra, calculating its Kac determinant, classifying unitary representations, and proposing new algebra extensions and a novel construction approach from rational conformal field theories.
Contribution
It provides the first complete classification of unitary representations of SW(3/2,2) algebra and introduces new algebra extensions and a construction method from rational CFTs.
Findings
Complete list of unitary representations determined
Kac determinant explicitly calculated
New algebra extensions proposed
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.
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