TY - JOUR
T1 - Yangian symmetries in the SU(N)1 WZW model and the Calogero-Sutherland model
AU - Ahn, Changhyun
AU - Nam, Soonkeon
PY - 1996/6/20
Y1 - 1996/6/20
N2 - We study the SU(N), level 1 Wess-Zumino-Witten model, with affine primary fields as spinon fields of fundamental representation. By evaluating the action of the Yangian generators Qa0, Qa1 and the Hamiltonian H2 on two spinon states we get a new connection between this conformal field theory and the Calogero-Sutherland model with SU(N) spin. This connection clearly confirms the need for the W3 generator in H2 and an additional term in the Qa1. We also evaluate some energy spectra of H2, by acting it on multi-spinon states.
AB - We study the SU(N), level 1 Wess-Zumino-Witten model, with affine primary fields as spinon fields of fundamental representation. By evaluating the action of the Yangian generators Qa0, Qa1 and the Hamiltonian H2 on two spinon states we get a new connection between this conformal field theory and the Calogero-Sutherland model with SU(N) spin. This connection clearly confirms the need for the W3 generator in H2 and an additional term in the Qa1. We also evaluate some energy spectra of H2, by acting it on multi-spinon states.
UR - http://www.scopus.com/inward/record.url?scp=0010806235&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(96)00402-9
DO - 10.1016/0370-2693(96)00402-9
M3 - Article
AN - SCOPUS:0010806235
SN - 0370-2693
VL - 378
SP - 107
EP - 112
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-4
ER -