dorsal/arxiv
View SchemaA note on real forms of the complex N=4 supersymmetric Toda chain hierarchy in real N=2 and N=4 superspaces
| Authors | F. Delduc, A. Sorin |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9911005 |
| URL | https://arxiv.org/abs/solv-int/9911005 |
| DOI | 10.1016/S0550-3213(00)00121-8 |
| Journal | Nucl.Phys. B577 (2000) 461-470 |
Abstract
Three inequivalent real forms of the complex N=4 supersymmetric Toda chain hierarchy (Nucl. Phys. B558 (1999) 545, solv-int/9907004) in the real N=2 superspace with one even and two odd real coordinates are presented. It is demonstrated that the first of them possesses a global N=4 supersymmetry, while the other two admit a twisted N=4 supersymmetry. A new superfield basis in which supersymmetry transformations are local is discussed and a manifest N=4 supersymmetric representation of the N=4 Toda chain in terms of a chiral and an anti-chiral N=4 superfield is constructed. Its relation to the complex N=4 supersymmetric KdV hierarchy is established. Darboux-Backlund symmetries and a new real form of this last hierarchy possessing a twisted N=4 supersymmetry are derived.
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"abstract": "Three inequivalent real forms of the complex N=4 supersymmetric Toda chain\nhierarchy (Nucl. Phys. B558 (1999) 545, solv-int/9907004) in the real N=2\nsuperspace with one even and two odd real coordinates are presented. It is\ndemonstrated that the first of them possesses a global N=4 supersymmetry, while\nthe other two admit a twisted N=4 supersymmetry. A new superfield basis in\nwhich supersymmetry transformations are local is discussed and a manifest N=4\nsupersymmetric representation of the N=4 Toda chain in terms of a chiral and an\nanti-chiral N=4 superfield is constructed. Its relation to the complex N=4\nsupersymmetric KdV hierarchy is established. Darboux-Backlund symmetries and a\nnew real form of this last hierarchy possessing a twisted N=4 supersymmetry are\nderived.",
"arxiv_id": "solv-int/9911005",
"authors": [
"F. Delduc",
"A. Sorin"
],
"categories": [
"solv-int",
"hep-th",
"math-ph",
"math.MP",
"nlin.SI"
],
"doi": "10.1016/S0550-3213(00)00121-8",
"journal_ref": "Nucl.Phys. B577 (2000) 461-470",
"title": "A note on real forms of the complex N=4 supersymmetric Toda chain hierarchy in real N=2 and N=4 superspaces",
"url": "https://arxiv.org/abs/solv-int/9911005"
},
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