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.
Keywords
Cite
@article{arxiv.solv-int/9711012,
title = {Coset approach to the N=2 supersymmetric matrix GNLS hierarchies},
author = {L. Bonora and S. Krivonos and A. Sorin},
journal= {arXiv preprint arXiv:solv-int/9711012},
year = {2009}
}
Comments
13 pages, Latex, a few misprints have been corrected