We propose the full system of Baxter Q-functions (QQ-system) for the integrable spin chains with the symmetry of the Dr 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.
QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains / Ferrando, G.; Frassek, R.; Kazakov, V.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2021:2(2021), pp. 1-47. [10.1007/JHEP02(2021)193]
QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
Frassek R.;
2021
Abstract
We propose the full system of Baxter Q-functions (QQ-system) for the integrable spin chains with the symmetry of the Dr 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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Ferrando2021_Article_QQ-systemAndWeyl-typeTRansfeRM.pdf
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JHEP02(2021)193.pdf
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873.14 kB
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