368 research outputs found
Quantum affine symmetry in vertex models
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
, and that the -particle space has an RSOS-type structure rather than a
simple tensor product of the -particle space. This agrees with the picture
proposed earlier by Reshetikhin.Comment: 29 page
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