AKAtsuo Kuniba
Atsuo Kuniba
*This is an algorithmically generated author record based on publicly available information.
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Previous Organizations / Institutes
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Research Subjects
Research Interests
Atsuo Kuniba has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Junji Suzuki
Department of Physics, Faculty of Science, Shizuoka University, Ohya 836, Suruga, Shizuoka, Japan
2 shared publications - T. Nakanishi
Lyman Laboratory of Physics Harvard University 02138 Cambridge MA USA
2 shared publications - Tomoki Nakanishi
Department of Mathematics Kyushu University 812 Fukuoka Japan
1 shared publication
Latest Publications
- Open Access
Functional Relations in Solvable Lattice Models I: Functional Relations and Representation Theory
We study a system of functional relations among a commuting family of row-to-row transfer matrices in solvable lattice models. The role of exact sequences of the finite dimensional quantum group modules is clarified. We find a curious phenomenon that the solutions of those functional relations also solve the so-called thermodynamic Bethe ansatz equations in the high temperature limit for $sl(r+1)$ models. Based on this observation, we propose possible functional relations for models associated with all the simple Lie algebras. We show that these functional relations certainly fulfill strong constraints coming from the fusion procedure analysis. The application to the calculations of physical quantities will be presented in the subsequent publication.Open AccessFunctional Relations in Solvable Lattice Models I: Functional Relations and Representation Theory
We study a system of functional relations among a commuting family of row-to-row transfer matrices in solvable lattice models. The role of exact sequences of the finite dimensional quantum group modules is clarified. We find a curious phenomenon that the solutions of those functional relations also solve the so-called thermodynamic Bethe ansatz equations in the high temperature limit for $sl(r+1)$ models. Based on this observation, we propose possible functional relations for models associated with all the simple Lie algebras. We show that these functional relations certainly fulfill strong constraints coming from the fusion procedure analysis. The application to the calculations of physical quantities will be presented in the subsequent publication. - Open Access
Characters in Conformal Field Theories from Thermodynamic Bethe Ansatz
We propose a new $q$-series formula for a character of parafermion conformal field theories associated to arbitrary non-twisted affine Lie algebra $\widehat{g}$. We show its natural origin from a thermodynamic Bethe ansatz analysis including chemical potentials.Open AccessCharacters in Conformal Field Theories from Thermodynamic Bethe Ansatz
We propose a new $q$-series formula for a character of parafermion conformal field theories associated to arbitrary non-twisted affine Lie algebra $\widehat{g}$. We show its natural origin from a thermodynamic Bethe ansatz analysis including chemical potentials. - Open Access
Spectra in Conformal Field Theories from the Rogers Dilogarithm
We propose a system of functional relations having a universal form connected to the $U_q(X^{(1)}_r)$ Bethe ansatz equation. Based on the analysis of it, we conjecture a new sum formula for the Rogers dilogarithm function in terms of the scaling dimensions of the $X^{(1)}_r$ parafermion conformal field theory.Open AccessSpectra in Conformal Field Theories from the Rogers Dilogarithm
We propose a system of functional relations having a universal form connected to the $U_q(X^{(1)}_r)$ Bethe ansatz equation. Based on the analysis of it, we conjecture a new sum formula for the Rogers dilogarithm function in terms of the scaling dimensions of the $X^{(1)}_r$ parafermion conformal field theory.