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

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.

13, MRI-PHY 7/94 SNBC 06/94

References in corpus (1)

• 2D Gravity and Random Matrices

Cited by in corpus (1)

• Integrability and Symmetry Algebra Associated with N=2 KP Flows