Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-06-18
Phys.Lett. B341 (1995) 293-301
Physics
High Energy Physics
High Energy Physics - Theory
13, MRI-PHY 7/94 SNBC 06/94
Scientific paper
10.1016/0370-2693(94)01290-S
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.
Ghosh Sasanka
Paul Samir K.
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