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arxiv: q-alg/9603004 · v1 · submitted 1996-03-06 · q-alg · hep-th· math.QA

Non Abelian Sugawara Construction and the q-deformed N=2 Superconformal Algebra

classification q-alg hep-thmath.QA
keywords algebraq-deformedconstructionproposedsugawarasuperconformalwidehatabelian
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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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