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

E. Batista·J. F. Gomes·I. J. Lautenschleguer
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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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E. Batista, J. F. Gomes, I. J. Lautenschleguer. 1996-03-06. Non Abelian Sugawara Construction and the q-deformed N=2 Superconformal Algebra. https://doi.org/10.1088/0305-4470%2F29%2F19%2F013

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