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Minimal models of integrable lattice theory and truncated functional equations

A.A. Belavin
(
- Landau Inst.
)
,
Yu. Stroganov
(
- Serpukhov, IHEP and
- Kyoto U., RIMS
)

Aug, 1999

8 pages

Published in:

Phys.Lett.B 466 (1999) 281-286

e-Print:

hep-th/9908050 [hep-th]

DOI:

10.1016/S0370-2693(99)01150-8

View in:

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Abstract:

We consider the integrable XXZ model with the special open boundary conditions. We perform Quantum Group reduction of this model in roots of unity and use it for the definition Minimal Models of Interable lattice theory. It is shown that after this Quantum Group reduction Sklyanin's transfer-matrices satisfy the closed system of the truncated functional relations. We solve these equations for the simplest case.

Note:

9 pages, LaTeX, corrected some typos, added some references

statistical mechanics
integrability
boundary condition
quantum group: representation
Bethe ansatz
operator: algebra
algebra: fusion

References(19)

Figures(0)

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