Spinons in conformal field theory

Peter Bouwknegt, Andreas W. W. Ludwig, Kareljan Schoutens

Denis Bernard, Vincent Pasquier, Didina Serban

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.

L. Dolan

D. C. Cabra

Gauge invariant fermion fields in fermionic coset models play a central role in the quasiparticle description of certain Conformal Field Theories (CFT’s). We briefly outline the description for unitary minimal models, and show how spinon fields in SU(N)1 Wess-Zumino-Witten (WZW) theories appear naturally within this scheme.

Yevgeny Kats

S. Viefers, T. H. Hansson, Jainendra Jain +2 more