scholarly journals QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gwenäel Ferrando ◽  
Rouven Frassek ◽  
Vladimir Kazakov
Keyword(s):  
Lie Algebra ◽  
Finite Length ◽  
Spin Chains ◽  
Transfer Matrices ◽  
Full System ◽  
Functional Relations ◽  
Integrable Spin ◽  
Integrable Spin Chains

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.

scholarly journals Low-temperature thermodynamics of A2(2) and su(3)-invariant integrable spin chains

1993 ◽  
Vol 406 (3) ◽  
pp. 681-707 ◽  
Author(s):  
Luca Mezincescu ◽  
Rafael I. Nepomechie ◽  
P.K. Townsend ◽  
A.M. Tsvelik
Keyword(s):  
Low Temperature ◽  
Spin Chains ◽  
Integrable Spin ◽  
Integrable Spin Chains

scholarly journals SUSY field theories in higher dimensions and integrable spin chains

1998 ◽  
Vol 518 (3) ◽  
pp. 689-713 ◽  
Author(s):  
A. Gorsky ◽  
G. Sukov ◽  
A. Mironov
Keyword(s):  
Higher Dimensions ◽  
Spin Chains ◽  
Field Theories ◽  
Integrable Spin ◽  
Integrable Spin Chains

scholarly journals Current operators in integrable spin chains: lessons from long range deformations

2020 ◽  
Vol 8 (2) ◽  
Author(s):  
Balázs Pozsgay
Keyword(s):  
Long Range ◽  
Exact Result ◽  
Spin Chains ◽  
Mean Values ◽  
Heisenberg Spin ◽  
Nested Bethe Ansatz ◽  
Integrable Spin ◽  
Integrable Spin Chains ◽  
The One ◽  
Heisenberg Spin Chains

We consider the finite volume mean values of current operators in integrable spin chains with local interactions, and provide an alternative derivation of the exact result found recently by the author and two collaborators. We use a certain type of long range deformation of the local spin chains, which was discovered and explored earlier in the context of the AdS/CFT correspondence. This method is immediately applicable also to higher rank models: as a concrete example we derive the current mean values in the SU(3)SU(3)-symmetric fundamental model, solvable by the nested Bethe Ansatz. The exact results take the same form as in the Heisenberg spin chains: they involve the one-particle eigenvalues of the conserved charges and the inverse of the Gaudin matrix.

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