Integrability and Symmetry Algebra Associated with N=2 KP Flows

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

2001-07-07

arxiv.org/abs/nlin/0107015v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex file, 38 pages, no figures

Scientific paper

10.1016/S0550-3213(01)00434-5

We show the complete integrability of N=2 nonstandard KP flows establishing the biHamiltonian structures. One of Hamiltonian structures is shown to be isomorphic to the nonlinear N=2 $\hat W_{\infty}$ algebra with the bosonic sector having $\hat W_{1+\infty}\oplus \hat W_{\infty}$ structure. A consistent free field representation of the super conformal algebra is obtained. The bosonic generators are found to be an admixture of free fermions and free complex bosons, unlike the linear one. The fermionic generators become exponential in free fields, in general.

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