Coset approach to the N=2 supersymmetric matrix GNLS hierarchies

Abstract

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.

13 pages, Latex, a few misprints have been corrected

References in corpus (5)

• New Integrable Extensions of N=2 KdV and Boussinesq Hierarchies
• New super KdV system with the N=4 SCA as the hamiltonian structure
• N=4 Super NLS-mKdV Hierarchies
• The Hamiltonian structure of the N=2 supersymmetric GNLS hierarchy
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Cited by in corpus (2)

• N=2 local and N=4 nonlocal reductions of supersymmetric KP hierarchy in N=2 superspace
• N=2 supersymmetric unconstrained matrix GNLS hierarchies are consistent