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

Abstract

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

AMSLATEX, 21pages

References in corpus (3)

• Quantum Affine Algebras and Deformations of the Virasoro and W-algebras
• New Phenomenon of Nonlinear Regge Trajectory and Quantum Dual String Theory
• A Quantum Analogue of the Boson-Fermion Correspondence

Cited by in corpus (4)

• Deformation of Super Virasoro Algebra in Noncommutative Quantum Superspace
• Deformed fields and Moyal construction of deformed super Virasoro algebra
• FFZ realization of the deformed super Virasoro algebra - Chaichian-Presnajder type
• Hamiltonian Reduction and the Construction of q-Deformed Extensions of the Virasoro Algebra