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arXiv · hep-th/9408130

Nonlocal Matrix Generalizations of N=2 Super Virasoro Algebra

Wen-Jui Huang
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Abstract

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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Wen-Jui Huang. 1994-08-24. Nonlocal Matrix Generalizations of N=2 Super Virasoro Algebra. https://doi.org/10.1142/s0217732394003178

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