English

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

q-alg 2008-11-26 v1 High Energy Physics - Theory Quantum Algebra

Abstract

The construction of a q-deformed N=2 superconformal algebra is proposed in terms of level 1 currents of Uq(su^(2)){\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 Uq(su^(N+1)){\cal{U}}_{q} ({\widehat{su}}(N+1)) is also proposed.

Keywords

Cite

@article{arxiv.q-alg/9603004,
  title  = {Non Abelian Sugawara Construction and the q-deformed N=2 Superconformal Algebra},
  author = {E. Batista and J. F. Gomes and I. J. Lautenschleguer},
  journal= {arXiv preprint arXiv:q-alg/9603004},
  year   = {2008}
}

Comments

AMSLATEX, 21pages