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

Batista, E.; Gomes, J. F.; Lautenschleguer, I. J.

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

Authors

Batista, E.

Gomes, J. F.

Lautenschleguer, I. J.

Description

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.
AMSLATEX, 21pages