Spinons in Conformal Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages

Scientific paper

10.1016/0550-3213(94)90366-2

We study the $su(2)$ conformal field theory in its spinon description, adapted to the Yangian invariance. By evaluating the action of the Yangian generators on the primary fields, we find a new connection between this conformal field theory and the Calogero-Sutherland model with $su(2)$ spin. We use this connection to describe how the spinons are the quasi-particles spanning the irreducible Yangian multiplet, and also to exhibit operators creating the $N$-spinon highest weight vectors.

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