A Realization of N=1 ${\cal SW}(3/2,2)$ Algebras with Wolf Spaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, references added, published version

Scientific paper

10.1088/1126-6708/2002/12/059

We find out that some unitary minimal models of the N=1 ${\cal SW}(3/2,2)$
superconformal algebra can be realized as the level one coset models based on
the Wolf spaces $SU(n)/(SU(n-2)\times SU(2))$. We obtain the expression of the
fermionic current with the conformal weight 5/2 in the algebra. Then, these
models are twisted to give the topological conformal field theories.

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