dorsal/arxiv
View SchemaIntegrable Models and the Higher Dimensional Representations of Graded Lie Algebras
| Authors | J. C. Brunelli, Ashok Das |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9711001 |
| URL | https://arxiv.org/abs/solv-int/9711001 |
| DOI | 10.1142/S0217732398000176 |
| Journal | Mod.Phys.Lett. A13 (1998) 133-144 |
Abstract
We construct a zero curvature formulation, in superspace, for the sTB-B hierarchy which naturally reduces to the zero curvature condition in terms of components, thus solving one of the puzzling features of this model. This analysis, further, suggests a systematic method of constructing higher dimensional representations for the zero curvature condition starting with the fundamental representation. We illustrate this with the examples of the sTB hierarchy and the sKdV hierarchy. This would be particularly useful in constructing explicit higher dimensional representations of graded Lie algebras.
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"abstract": "We construct a zero curvature formulation, in superspace, for the sTB-B\nhierarchy which naturally reduces to the zero curvature condition in terms of\ncomponents, thus solving one of the puzzling features of this model. This\nanalysis, further, suggests a systematic method of constructing higher\ndimensional representations for the zero curvature condition starting with the\nfundamental representation. We illustrate this with the examples of the sTB\nhierarchy and the sKdV hierarchy. This would be particularly useful in\nconstructing explicit higher dimensional representations of graded Lie\nalgebras.",
"arxiv_id": "solv-int/9711001",
"authors": [
"J. C. Brunelli",
"Ashok Das"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1142/S0217732398000176",
"journal_ref": "Mod.Phys.Lett. A13 (1998) 133-144",
"title": "Integrable Models and the Higher Dimensional Representations of Graded Lie Algebras",
"url": "https://arxiv.org/abs/solv-int/9711001"
},
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