Quantum affine symmetry in vertex models

Journal Article · Tue Mar 30 00:00:00 EST 1993 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X9300062X· OSTI ID:5919285

Idzumi, Makoto; Tokihiro, Tetsuji ^[1]; Iohara, Kenji; Jimbo, Michio; Miwa, Tetsuji ^[2]; Nakashima, Toshiki ^[3]

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1. Univ. of Tokyo, Tokyo (Japan)
2. Kyoto Univ., Kyoto (Japan)
3. Osaka Univ. (Japan)

The authors study the higher spin analogs of the six-vertex model on the basis of its symmetry under the quantum affine algebra U[sub q](sl[sub 2]). Using the method developed recently for the XXZ spin chain, they formulate the space of states, transfer matrix, vacuum, creation/annihilation operators of particles, and local operators, purely in the language of representation theory. They find that, regardless of the levels 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 one-particle space. This agrees with the picture proposed earlier by Reshetikhin.

• OSTI ID: 5919285
• Journal Information: International Journal of Modern Physics A; (United States), Vol. 8:8; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PARTICLE MODELS
SYMMETRY
ANNIHILATION OPERATORS
CREATION OPERATORS
HAMILTONIANS
PAULI SPIN OPERATORS
R MATRIX
SPIN
ANGULAR MOMENTUM
ANGULAR MOMENTUM OPERATORS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
PARTICLE PROPERTIES
QUANTUM OPERATORS
662100* - General Theory of Particles & Fields- (1992-)