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arXiv · hep-th/9406124

N = 2 Super $W_{\infty}$ Algebra and its Nonlinear Realization Through Super KP Formulation

Sasanka Ghosh·Samir K. Paul
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Abstract

A nonlinear realization of super $W_{\infty}$ algebra is shown to exist through a consistent superLax formulation of super KP hierarchy. The reduction of the superLax operator gives rise to the Lax operators for $N=2$ generalized super KdV hierarchies, proposed by Inami and Kanno. The Lax equations are shown to be Hamiltonian and the associated Poisson bracket algebra among the superfields, consequently, gives rise to a realization of nonlinear super $W_{\infty}$ algebra.

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Sasanka Ghosh, Samir K. Paul. 1994-06-18. N = 2 Super $W_{\infty}$ Algebra and its Nonlinear Realization Through Super KP Formulation. https://doi.org/10.1016/0370-2693(94)01290-s

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