dorsal/arxiv
View SchemaN=2 KP and KdV hierarchies in extended superspace
| Authors | F. Delduc, L. Gallot |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9609008 |
| URL | https://arxiv.org/abs/solv-int/9609008 |
| DOI | 10.1007/s002200050246 |
| Journal | Commun.Math.Phys. 190 (1997) 395-410 |
Abstract
We give the formulation in extended superspace of an $N=2$ supersymmetric KP hierarchy using chirality preserving pseudo-differential operators. We obtain two quadratic hamiltonian structures, which lead to different reductions of the KP hierarchy. In particular we find two different hierarchies with the $N=2$ classical super-${\cal W}_n$ algebra as a hamiltonian structure. The relation with the formulation in $N=1$ superspace is carried out.
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"abstract": "We give the formulation in extended superspace of an $N=2$ supersymmetric KP\nhierarchy using chirality preserving pseudo-differential operators. We obtain\ntwo quadratic hamiltonian structures, which lead to different reductions of the\nKP hierarchy. In particular we find two different hierarchies with the $N=2$\nclassical super-${\\cal W}_n$ algebra as a hamiltonian structure. The relation\nwith the formulation in $N=1$ superspace is carried out.",
"arxiv_id": "solv-int/9609008",
"authors": [
"F. Delduc",
"L. Gallot"
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],
"doi": "10.1007/s002200050246",
"journal_ref": "Commun.Math.Phys. 190 (1997) 395-410",
"title": "N=2 KP and KdV hierarchies in extended superspace",
"url": "https://arxiv.org/abs/solv-int/9609008"
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