dorsal/arxiv
View SchemaSupersymmetric KP Hierarchy: ``Ghost'' Symmetry Structure, Reductions and Darboux-Backlund Solutions
| Authors | H. Aratyn, E. Nissimov, S. Pacheva |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9801021 |
| URL | https://arxiv.org/abs/solv-int/9801021 |
| DOI | 10.1063/1.532736 |
Abstract
This paper studies Manin-Radul supersymmetric KP hierarchy (MR-SKP) in three related aspects: (i) We find an infinite set of additional (``ghost'') symmetry flows spanning the same (anti-)commutation algebra as the ordinary MR-SKP flows; (ii) The latter are used to construct consistent reductions of the initial unconstrained MR-SKP hierarchy which involves a nontrivial modification for the fermionic flows; (iii) For the simplest constrained MR-SKP hierarchy we show that the orbit of Darboux-Backlund transformations lies on a supersymmetric Toda lattice being a square-root of the standard one-dimensional Toda lattice, and also we find explicit Wronskian-ratio solutions for the super-tau function.
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"abstract": "This paper studies Manin-Radul supersymmetric KP hierarchy (MR-SKP) in three\nrelated aspects: (i) We find an infinite set of additional (``ghost\u0027\u0027) symmetry\nflows spanning the same (anti-)commutation algebra as the ordinary MR-SKP\nflows; (ii) The latter are used to construct consistent reductions of the\ninitial unconstrained MR-SKP hierarchy which involves a nontrivial modification\nfor the fermionic flows; (iii) For the simplest constrained MR-SKP hierarchy we\nshow that the orbit of Darboux-Backlund transformations lies on a\nsupersymmetric Toda lattice being a square-root of the standard one-dimensional\nToda lattice, and also we find explicit Wronskian-ratio solutions for the\nsuper-tau function.",
"arxiv_id": "solv-int/9801021",
"authors": [
"H. Aratyn",
"E. Nissimov",
"S. Pacheva"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1063/1.532736",
"title": "Supersymmetric KP Hierarchy: ``Ghost\u0027\u0027 Symmetry Structure, Reductions and Darboux-Backlund Solutions",
"url": "https://arxiv.org/abs/solv-int/9801021"
},
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