dorsal/arxiv
View SchemaNon Abelian Sugawara Construction and the q-deformed N=2 Superconformal Algebra
| Authors | E. Batista, J. F. Gomes, I. J. Lautenschleguer |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9603004 |
| URL | https://arxiv.org/abs/q-alg/9603004 |
| DOI | 10.1088/0305-4470/29/19/013 |
| Journal | J.Phys.A29:6281-6294,1996 |
Abstract
The construction of a q-deformed N=2 superconformal algebra is proposed in terms of level 1 currents of ${\cal{U}}_{q} ({\widehat{su}}(2))$ quantum affine Lie algebra and a single real Fermi field. In particular, it suggests the expression for the q-deformed Energy-Momentum tensor in the Sugawara form. Its constituents generate two isomorphic quadratic algebraic structures. The generalization to ${\cal{U}}_{q} ({\widehat{su}}(N+1))$ is also proposed.
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"abstract": "The construction of a q-deformed N=2 superconformal algebra is proposed in\nterms of level 1 currents of ${\\cal{U}}_{q} ({\\widehat{su}}(2))$ quantum affine\nLie algebra and a single real Fermi field. In particular, it suggests the\nexpression for the q-deformed Energy-Momentum tensor in the Sugawara form. Its\nconstituents generate two isomorphic quadratic algebraic structures. The\ngeneralization to ${\\cal{U}}_{q} ({\\widehat{su}}(N+1))$ is also proposed.",
"arxiv_id": "q-alg/9603004",
"authors": [
"E. Batista",
"J. F. Gomes",
"I. J. Lautenschleguer"
],
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"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1088/0305-4470/29/19/013",
"journal_ref": "J.Phys.A29:6281-6294,1996",
"title": "Non Abelian Sugawara Construction and the q-deformed N=2 Superconformal Algebra",
"url": "https://arxiv.org/abs/q-alg/9603004"
},
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