Principal Realization for the extended affine Lie algebra of type $sl_2$ with coordinates in a simple quantum torus with two generators

Details Principal Realization for the extended affine Lie algebra of type $sl_2$ with coordinates in a simple quantum torus with two generators Principal Realization for the extended affine Lie algebra of type $sl_2$ with coordinates in a simple quantum torus with two generators

1998-05-04

arxiv.org/abs/hep-th/9805016v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

We construct an irreducible representation for the extended affine algebra of
type $sl_2$ with coordinates in a quantum torus. We explicitly give formulas
using vertex operators similar to those found in the theory of the infinite
rank affine algebra $A_{\infty}$.

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