Quantum affine symmetry in vertex models

Details Quantum affine symmetry in vertex models Quantum affine symmetry in vertex models

1992-08-27

arxiv.org/abs/hep-th/9208066v1

Int. J. Mod. Phys. A8 (1993) 1479-1511

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

We study the higher spin anologs of the six vertex model on the basis of its symmetry under the quantum affine algebra $U_q(\slth)$. Using the method developed recently for the XXZ spin chain, we formulate the space of states, transfer matrix, vacuum, creation/annihilation operators of particles, and local operators, purely in the language of representation theory. We find that, regardless of the level of the representation involved, the particles have spin $1/2$, and that the $n$-particle space has an RSOS-type structure rather than a simple tensor product of the $1$-particle space. This agrees with the picture proposed earlier by Reshetikhin.

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