QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
Gwenaël Ferrando, Rouven Frassek, Vladimir Kazakov
Abstract
A bstract 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.
Topics & Concepts
Integrable systemAntisymmetric relationType (biology)Spin (aerodynamics)Symmetry (geometry)MathematicsPure mathematicsAlgebra over a fieldMathematical physicsLie algebraPhysicsGeometryThermodynamicsEcologyBiologyNonlinear Waves and SolitonsAlgebraic structures and combinatorial modelsMolecular spectroscopy and chirality