dorsal/arxiv
View SchemaReal forms of the complex twisted N=2 supersymmetric Toda chain hierarchy in real N=1 and twisted N=2 superspaces
| Authors | Olaf Lechtenfeld, Alexander Sorin |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9912010 |
| URL | https://arxiv.org/abs/solv-int/9912010 |
| DOI | 10.2991/jnmp.2000.7.4.3 |
| Journal | J.Nonlin.Math.Phys. 7 (2000) 433-444 |
Abstract
Three nonequivalent real forms of the complex twisted N=2 supersymmetric Toda chain hierarchy (solv-int/9907021) in real N=1 superspace are presented. It is demonstrated that they possess a global twisted N=2 supersymmetry. We discuss a new superfield basis in which the supersymmetry transformations are local. Furthermore, a representation of this hierarchy is given in terms of two twisted chiral N=2 superfields. The relations to the s-Toda hierarchy by H. Aratyn, E. Nissimov and S. Pacheva (solv-int/9801021) as well as to the modified and derivative NLS hierarchies are established.
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"abstract": "Three nonequivalent real forms of the complex twisted N=2 supersymmetric Toda\nchain hierarchy (solv-int/9907021) in real N=1 superspace are presented. It is\ndemonstrated that they possess a global twisted N=2 supersymmetry. We discuss a\nnew superfield basis in which the supersymmetry transformations are local.\nFurthermore, a representation of this hierarchy is given in terms of two\ntwisted chiral N=2 superfields. The relations to the s-Toda hierarchy by H.\nAratyn, E. Nissimov and S. Pacheva (solv-int/9801021) as well as to the\nmodified and derivative NLS hierarchies are established.",
"arxiv_id": "solv-int/9912010",
"authors": [
"Olaf Lechtenfeld",
"Alexander Sorin"
],
"categories": [
"solv-int",
"hep-th",
"math-ph",
"math.MP",
"nlin.SI"
],
"doi": "10.2991/jnmp.2000.7.4.3",
"journal_ref": "J.Nonlin.Math.Phys. 7 (2000) 433-444",
"title": "Real forms of the complex twisted N=2 supersymmetric Toda chain hierarchy in real N=1 and twisted N=2 superspaces",
"url": "https://arxiv.org/abs/solv-int/9912010"
},
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