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

DOI10.1088/1126-6708/2002/03/030arXivhep-th/0201198MaRDI QIDQ6467522

Publication date: 24 January 2002

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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