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

Abstract

We find out that some unitary minimal models of the N=1 $\mathcal{S}\mathcal{W}(3/2,2)$ 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.

7 pages, references added, published version

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Cited by in corpus (4)

• Higher Spin Currents in Wolf Space: Part I
• SW(3/2,2) subsymmetry in G${}_2$, Spin(7) and N=2 CFTs
• $\mathcal{S}\mathcal{W}$-algebras and strings with torsion
• Spinor Field Realizations of the half-integer $W_{2,s}$ Strings