Nonlocal extended conformal algebras associated with multi-constraint KP hierarchy and their free-field realizations

Details Nonlocal extended conformal algebras associated with multi-constraint KP hierarchy and their free-field realizations Nonlocal extended conformal algebras associated with multi-constraint KP hierarchy and their free-field realizations

1997-08-20

arxiv.org/abs/solv-int/9708008v2

Int. J. Mod. Phys. A13 (1998) 2723

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, RevTex, no figures, typos corrected

Scientific paper

10.1142/S0217751X98001384

We study the conformal properties of the multi-constraint KP hierarchy and its nonstandard partner by covariantizing their corresponding Lax operators. The associated second Hamiltonian structures turn out to be nonlocal extension of $W_n$ algebra by some integer or half-integer spin fields depending on the order of the Lax operators. In particular, we show that the complicated second Hamiltonian structure of the nonstandard multi-constraint KP hierarchy can be simplified by factorizing its Lax operator to multiplication form. We then diagonalize this simplified Poisson matrix and obtain the free-field realizations of its associated nonlocal algebras.

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