Coset approach to the N=2 supersymmetric matrix GNLS hierarchies

Details Coset approach to the N=2 supersymmetric matrix GNLS hierarchies Coset approach to the N=2 supersymmetric matrix GNLS hierarchies

1997-11-20

arxiv.org/abs/solv-int/9711012v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex, a few misprints have been corrected

Scientific paper

10.1016/S0375-9601(98)00112-1

We discuss a large class of coset constructions of the N=2 sl(n|n-1) affine superalgebra. We select admissible subalgebras, i.e. subalgebras that induce linear chiral/antichiral constraints on the coset supercurrents. We show that all the corresponding coset constructions lead to N=2 matrix GNLS hierarchies. We develop an algorithm to compute the relative Hamiltonians and flows. We spell out completely the case of the N=2 affine sl(3|2), which possesses four admissible subalgebras. The non-local second Hamiltonian structure of the N=2 matrix GNLS hierarchies is obtained via Dirac procedure from the local N=2 sl(n|n-1) affine superalgebra. We observe that to any second Hamiltonian structure with pure bosonic or pure fermionic superfield content there correspond two different N=2 matrix GNLS hierarchies.

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