Thermodynamic Bethe ansatz equation from fusion hierarchy of osp(1|2) integrable spin chain

Abstract

The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of the QTM and derive the functional relations among them (T-system) and their certain combinations (Y-system). Their analytical property leads to the non-linear integral equations which describe the free energy and the correlation length at any finite temperatures. With regard to the free energy, they coincide with the TBA equation (math-ph/9911010, Mod. Phys. Lett. A, 14, 2427 (1999)) based on the string hypothesis.

26 pages, 6 Postscript figures. A phase factor in Eq. (5.3) is corrected

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Cited by in corpus (11)

• Integrable quantum field theories with OSP(m/2n) symmetries
• Integrable quantum field theories with supergroup symmetries: the $OSP(1/2)$ case
• Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model
• A note on the osp(1|2s) thermodynamic Bethe ansatz equation
• Thermodynamic Bethe ansatz equation for osp(1|2) integrable spin chain
• The extension to the transverse momentum of the statistical parton distributions
• Thermodynamics of osp(1|2) Integrable Spin Chain: Finite Size Correction
• Integral equations for thermodynamics of the osp(1|2s) integrable spin chain
• The dilute A_L models and the Phi_{1,2} perturbation of unitary minimal CFTs
• Finite size and finite temperature studies of the $osp(1|2)$ spin chain
• Completing the solution for the $OSp(1|2)$ spin chain