Nonlocal Matrix Generalizations of N=2 Super Virasoro Algebra

Details Nonlocal Matrix Generalizations of N=2 Super Virasoro Algebra Nonlocal Matrix Generalizations of N=2 Super Virasoro Algebra

1994-08-24

arxiv.org/abs/hep-th/9408130v1

Mod.Phys.Lett.A9:3347-3358,1994

Physics

High Energy Physics

High Energy Physics - Theory

14 pages (Plain TeX), NHCU-HEP-94-23

Scientific paper

10.1142/S0217732394003178

We study the generalization of second Gelfand-Dickey bracket to the superdifferential operators with matrix-valued coefficients. The associated Miura transformation is derived. Using this bracket we work out a nonlocal and nonlinear N=2 superalgebra which contains the N=2 super Virasoro algebra as a subalgebra. The bosonic limit of this algebra is considered. We show that when the spin-1 fields in this bosonic algebra are set to zero the resulting Dirac bracket gives precisely the recently derived $V_{2,2}$ algebra.

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