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Unitary minimal models of SW(3/2,3/2,2) superconformal algebra and manifolds of G_2 holonomy

Boris Noyvert
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Abstract

The SW(3/2,3/2,2) superconformal algebra is a W algebra with two free parameters. It consists of 3 superconformal currents of spins 3/2, 3/2 and 2. The algebra is proved to be the symmetry algebra of the coset (su(2)+su(2)+su(2))/su(2). At the central charge c=21/2 the algebra coincides with the superconformal algebra associated to manifolds of G_2 holonomy. The unitary minimal models of the SW(3/2,3/2,2) algebra and their fusion structure are found. The spectrum of unitary representations of the G_2 holonomy algebra is obtained.

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Boris Noyvert. 2002-04-01. Unitary minimal models of SW(3/2,3/2,2) superconformal algebra and manifolds of G_2 holonomy. https://doi.org/10.1088/1126-6708%2F2002%2F03%2F030

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