This note is a supplement to our previous papers: Mod. Phys. Lett. A14 (1999) 2427 (math-ph/9911010); Int. J. Mod. Phys. A15 (2000) 2329 (math-ph/9912014). The thermodynamic Bethe ansatz (TBA) equation for an integrable spin chain related to the Lie superalgebra osp(1|2) is analyzed. The central charge determined by low temperature asymptotics of the specific heat can be expressed by the Rogers...

The overall response to TBA and TBAC in genetic toxicology assays is very weak to negative. There are only three papers that are relevant to TBA with purported positive responses. These results are far out-numbered by negative results in the mouse lymphoma assay, Chinese hamster ovary assessment for SCEs, aberrations and micronuclei, and negative responses in Salmonella TA 98, 100, 104, 1535, a...

We propose discrete TBA equations for models with discrete spectrum. We illustrate our construction on the Calogero-Moser model and determine the discrete 2-body TBA function which yields the exact N -body CalogeroMoser thermodynamics. We apply this algorithm to the Lieb-Liniger model in a harmonic well, a model which is relevant for the microscopic description of harmonically trapped Bose-Eins...

A Bethe ansatz equation associated with the Lie superalgebra osp(1|2s) is studied. A thermodynamic Bethe ansatz (TBA) equation is derived by the string hypothesis. The high temperature limit of the entropy density is expressed in terms of the solution of the osp(1|2s) version of the Q-system. In particular for fundamental representation case, we also derive a TBA equation from the osp(1|2s) ver...

We consider the quark–anti-quark potential on the three sphere or the generalized cusp anomalous dimension in planar N = 4 SYM. We concentrate on the vacuum potential in the near BPS limit with L units of R-charge. Equivalently, we study the anomalous dimension of a super-Wilson loop with L local fields inserted at a cusp. The system is described by a recently proposed infinite set of non-linea...

A bstract It has been recently realized that, in the case of polynomial potentials, exact WKB method can be reformulated terms a system TBA equations. In this paper we study various examples. We develop graphical procedure due to Toledo, which provides fast and simple way wall-crossing behavior When complemented with quantization conditions, equations used solve spectral problems exactly Quantu...

We apply the contour deformation trick to the Thermodynamic Bethe Ansatz equations for the AdS5 × S mirror model, and obtain the integral equations determining the energy of two-particle excited states dual to N = 4 SYM operators from the sl(2) sector. We show that each state/operator is described by its own set of TBA equations. Moreover, we provide evidence that for each state there are infin...

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-linea...

The thiobarbituric acid (TBA) reaction, quantified by colorimetry or fluorimetry, is the method most widely used for studying lipid peroxidation in both laboratory animals and in humans with disorders. However, concerns regarding its analytical specificity have often been expressed, because TBA reacts with a wide variety of chemical species to produce a pink to red color. In this study, we reac...