dorsal/arxiv
View SchemaOn the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra
| Authors | Q. P. Liu |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9708005 |
| URL | https://arxiv.org/abs/solv-int/9708005 |
| DOI | 10.1016/S0375-9601(97)00638-5 |
| Journal | Phys. Lett. A, 235 (1997) 335 |
Abstract
A new Lax operator is proposed from the viewpoint of constructing the integrable hierarchies related with N=2 super $W_n$ algebra. It is shown that the Poisson algebra associated to the second Hamiltonian structure for the resulted hierarchy contains the N=2 super Virasoro algebra as a proper subalgebra. The simplest cases are discussed in detail. In particular, it is proved that the supersymmetric two-boson hierarchy is one of N=2 supersymmetric KdV hierarchies. Also, a Lax operator is supplied for one of N=2 supersymmetric Boussinesq hierarchies.
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"abstract": "A new Lax operator is proposed from the viewpoint of constructing the\nintegrable hierarchies related with N=2 super $W_n$ algebra. It is shown that\nthe Poisson algebra associated to the second Hamiltonian structure for the\nresulted hierarchy contains the N=2 super Virasoro algebra as a proper\nsubalgebra. The simplest cases are discussed in detail. In particular, it is\nproved that the supersymmetric two-boson hierarchy is one of N=2 supersymmetric\nKdV hierarchies. Also, a Lax operator is supplied for one of N=2 supersymmetric\nBoussinesq hierarchies.",
"arxiv_id": "solv-int/9708005",
"authors": [
"Q. P. Liu"
],
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"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(97)00638-5",
"journal_ref": "Phys. Lett. A, 235 (1997) 335",
"title": "On the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra",
"url": "https://arxiv.org/abs/solv-int/9708005"
},
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