Yangian symmetries in the SU(N)1 WZW model and the Calogero-Sutherland model

Changhyun Ahn; Soonkeon Nam

doi:10.1016/0370-2693(96)00402-9

Yangian symmetries in the SU(N)₁ WZW model and the Calogero-Sutherland model

Changhyun Ahn
, Soonkeon Nam

Department of Physics

Kyung Hee University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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 Q^a₀, Q^a₁ 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 Q^a₁. We also evaluate some energy spectra of H₂, by acting it on multi-spinon states.

Original language	English
Pages (from-to)	107-112
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	378
Issue number	1-4
DOIs	https://doi.org/10.1016/0370-2693(96)00402-9
State	Published - 20 Jun 1996

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title = "Yangian symmetries in the SU(N)1 WZW model and the Calogero-Sutherland model",

abstract = "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.",

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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 - https://www.scopus.com/pages/publications/0010806235

U2 - 10.1016/0370-2693(96)00402-9

DO - 10.1016/0370-2693(96)00402-9

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SN - 0370-2693

VL - 378

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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 -

Yangian symmetries in the SU(N)₁ WZW model and the Calogero-Sutherland model

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