QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
Résumé
We propose the full system of Baxter Q-functions (QQ-system) for the integrable spin chains with the symmetry of the D$_{r}$ Lie algebra. We use this QQ-system to derive new Weyl-type formulas expressing transfer matrices in all symmetric and antisymmetric (fundamental) representations through r + 1 basic Q-functions. Our functional relations are consistent with the Q-operators proposed recently by one of the authors and verified explicitly on the level of operators at small finite length.
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