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

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

1996-03-06

arxiv.org/abs/q-alg/9603004v1

J.Phys.A29:6281-6294,1996

Physics

High Energy Physics

High Energy Physics - Theory

AMSLATEX, 21pages

Scientific paper

10.1088/0305-4470/29/19/013

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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