dorsal/arxiv
View SchemaCoset approach to the N=2 supersymmetric matrix GNLS hierarchies
| Authors | L. Bonora, S. Krivonos, A. Sorin |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9711012 |
| URL | https://arxiv.org/abs/solv-int/9711012 |
| DOI | 10.1016/S0375-9601(98)00112-1 |
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.
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"date_created": "2026-03-02T18:02:51.212000Z",
"date_modified": "2026-03-02T18:02:51.212000Z",
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"abstract": "We discuss a large class of coset constructions of the N=2 sl(n|n-1) affine\nsuperalgebra. We select admissible subalgebras, i.e. subalgebras that induce\nlinear chiral/antichiral constraints on the coset supercurrents. We show that\nall the corresponding coset constructions lead to N=2 matrix GNLS hierarchies.\nWe develop an algorithm to compute the relative Hamiltonians and flows. We\nspell out completely the case of the N=2 affine sl(3|2), which possesses four\nadmissible subalgebras. The non-local second Hamiltonian structure of the N=2\nmatrix GNLS hierarchies is obtained via Dirac procedure from the local N=2\nsl(n|n-1) affine superalgebra. We observe that to any second Hamiltonian\nstructure with pure bosonic or pure fermionic superfield content there\ncorrespond two different N=2 matrix GNLS hierarchies.",
"arxiv_id": "solv-int/9711012",
"authors": [
"L. Bonora",
"S. Krivonos",
"A. Sorin"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(98)00112-1",
"title": "Coset approach to the N=2 supersymmetric matrix GNLS hierarchies",
"url": "https://arxiv.org/abs/solv-int/9711012"
},
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