Critical Rsos Models and Conformal Field Theory

“…It is worth mentioning that G s (x) is related to the logarithmic derivative of the solitonsoliton scattering matrix of the sine-Gordan model, and K(x) is a standard kernel function in the thermodynamic Bethe ansatz equation for the RSOS model [29].…”

Section: Auxiliary Functions and Sum Rulesmentioning

confidence: 99%

Excited state nonlinear integral equations for an integrable anisotropic spin-1 chain

Suzuki¹

2004

J. Phys. A: Math. Gen.

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“…[38], [44]). It yields T a 1 (u) in terms of elliptic polynomials Q t with roots constrained by the nested Bethe ansatz equations.…”

Section: Generalized Baxter's Relationsmentioning

confidence: 99%

Quantum Integrable Models and Discrete Classical Hirota Equations

Krichever

Lipan

Wiegmann

et al. 1997

Communications in Mathematical Physics

246

355

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Functional relation for commuting quantum transfer matrices of quantum integrable models is identified with classical Hirota's bilinear difference equation. This equation is equivalent to the completely discretized classical 2D Toda lattice with open boundaries. The standard objects of quantum integrable models are identified with elements of classical nonlinear integrable difference equation. In particular, elliptic solutions of Hirota's equation give complete set of eigenvalues of the quantum transfer matrices. Eigenvalues of Baxter's Q-operator are solutions to the auxiliary linear problems for classical Hirota's equation. The elliptic solutions relevant to Bethe ansatz are studied. The nested Bethe ansatz equations for A k−1 -type models appear as discrete time equations of motions for zeros of classical τ -functions and Baker-Akhiezer functions. Determinant representations of the general solution to bilinear discrete Hirota's equation and a new determinant formula for eigenvalues of the quantum transfer matrices are obtained.

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Critical Rsos Models and Conformal Field Theory

Cited by 210 publications

References 0 publications

GeneralizedT–Qrelations and the open XXZ chain

GeneralizedT–Qrelations and the open XXZ chain

Excited state nonlinear integral equations for an integrable anisotropic spin-1 chain

Quantum Integrable Models and Discrete Classical Hirota Equations

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