Results 21 to 30 of about 34,413 (249)

New Integrable Models from the Gauge/YBE Correspondence [PDF]

, 2013
We introduce a class of new integrable lattice models labeled by a pair of positive integers N and r. The integrable model is obtained from the Gauge/YBE correspondence, which states the equivalence of the 4d N=1 S^1 \times S^3/Z_r index of a large class
Yamazaki, Masahito
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On the Bethe states of the one-dimensional supersymmetric t − J model with generic open boundaries

Journal of High Energy Physics, 2017
By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the supersymmetric t − J model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T − Q relation, and the ...
Pei Sun, Fakai Wen, Kun Hao, Junpeng Cao, Guang-Liang Li, Tao Yang, Wen-Li Yang, Kangjie Shi   +7 more
doaj   +1 more source

Exact solution of the quantum integrable model associated with the twisted D 3 2 $$ {\mathrm{D}}_3^{(2)} $$ algebra

Journal of High Energy Physics, 2022
We generalize the nested off-diagonal Bethe ansatz method to study the quantum chain associated with the twisted D 3 2 $$ {D}_3^{(2)} $$ algebra (or the D 3 2 $$ {D}_3^{(2)} $$ model) with either periodic or integrable open boundary conditions. We obtain
Guang-Liang Li, Xiaotian Xu, Kun Hao, Pei Sun, Junpeng Cao, Wen-Li Yang, Kang jie Shi, Yupeng Wang   +7 more
doaj   +1 more source

Integrable lattice spin models from supersymmetric dualities

, 2017
Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mechanics such that the two-dimensional spin lattice is the quiver diagram ...
A. G. Izergin, A. Gadde, A. Giveon, A. Hanany, A. Kapustin, A. Kuniba, A. P. Kels, A. P. Kels, A. P. Kels, A. Y. Volkov, A. Yu. Volkov, A. Zamolodchikov, B. Sutherland, C. Romelsberger, C.-N. Yang, E. Friedman, E. H. Lieb, E. Ising, F. A. Dolan, F. A. H. Dolan, F. Benini, F. Benini, F. Benini, F. Benini, F. J. van de Bult, F. Nieri, G. E. Andrews, G. Felder, G. Gehlen von, H. Au-Yang, H. Au-Yang, H. Saleur, I. B. Gahramanov, I. Frenkel, I. Gahramanov, I. Gahramanov, I. Gahramanov, I. Gahramanov, I. Gahramanov, I. Gahramanov, I. Gahramanov, I. Gahramanov, Ilmar Gahramanov, J. B. McGuire, J. Bhattacharya, J. H. H. Perk, J. H. Perk, J. Kinney, J. Nian, J. Terning, J. Teschner, J. V. Stokman, J. Yagi, J. Yagi, J. Yagi, K. A. Intriligator, K. Hasegawa, K. Hosomichi, K. Maruyoshi, L. A. Takhtadzhan, L. D. Faddeev, L. D. Faddeev, L. D. Faddeev, L. Onsager, M. Gaudin, M. J. Strassler, M. J. Strassler, M. Jimbo, M. Kashiwara, M. P. Bellon, M. Yamazaki, M. Yamazaki, M. Yamazaki, M. Yamazaki, M. Yamazaki, N. A. Nekrasov, N. A. Nekrasov, N. Doroud, N. Hama, N. Seiberg, O. Aharony, O. Aharony, P. A. Pearce, P. A. Pearce, P. P. Kulish, P. P. Kulish, R. J. Baxter, R. J. Baxter, R. J. Baxter, R. J. Baxter, R. J. Baxter, R. J. Baxter, R. J. Baxter, R. J. Baxter, R. J. Baxter, S. E. Derkachov, S. E. Derkachov, S. Elitzur, S. Elitzur, S. Fomin, S. Kim, S. N. M. Ruijsenaars, Shahriyar Jafarzade, T. Deguchi, V. A. Fateev, V. P. Spiridonov, V. P. Spiridonov, V. P. Spiridonov, V. P. Spiridonov, V. P. Spiridonov, V. P. Spiridonov, V. P. Spiridonov, V. V. Bazhanov, V. V. Bazhanov, V. V. Bazhanov, V. V. Bazhanov, V. V. Bazhanov, V. V. Bazhanov, V. V. Bazhanov, V. V. Bazhanov, Y. Imamura, Y. Imamura, Y. Imamura, Yu. G. Stroganov, Yu. G. Stroganov   +124 more
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Universality of the one dimensional Bose gas with delta interaction

, 2004
We consider several models of interacting bosons in a one dimensional lattice. Some of them are not integrable like the Bose-Hubbard others are integrable. At low density all of these models can be described by the Bose gas with delta interaction.
Ablowitz, Amico, Batrouni, Bogoliubov, Bogoliubov, Bogoliubov, Bogoliubov, Bogoliubov, Bogoliubov, Bru, Choy, Choy, Fazio, Fisher, Gerdzikov, Girardeau, Greiner, Haldane, Haldane, Haldane, Haldane, Izergin, Jaksch, Korepin, Korepin, Korepin, Kulish, Kundu, Lieb, Lieb, Luigi Amico, Montambaux, Richardson, Tarasov, Vladimir Korepin, Yang   +35 more
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Factorization identities and algebraic Bethe ansatz for D 2 2 $$ {D}_2^{(2)} $$ models

Journal of High Energy Physics, 2021
We express D 2 2 $$ {D}_2^{(2)} $$ transfer matrices as products of A 1 1 $$ {A}_1^{(1)} $$ transfer matrices, for both closed and open spin chains. We use these relations, which we call factorization identities, to solve the models by algebraic Bethe ...
Rafael I. Nepomechie, Ana L. Retore
doaj   +1 more source

Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices

, 1994
The procedure for obtaining integrable vertex models via reflection matrices on the square lattice with open boundaries is reviewed and explicitly carried out for a number of two- and three-state vertex models.
Alcaraz, Babelon, Batchelor, Batchelor, Batchelor, Baxter, Bazhanov, Blote, C.M. Yung, Cherednik, Cherednik, de Gennes, de Vega, de Vega, de Vega, de Vega, Deguchi, Destri, Destri, Faddeev, Gaudin, Ghoshal, Grisaru, Izergin, Jimbo, Kulish, Kulish, Kulish, M.T. Batchelor, Mezincescu, Mezincescu, Mezincescu, Mezincescu, Mezincescu, Mezincescu, Nienhuis, Nienhuis, Owczarek, Pasquier, Reshetikhin, Roche, Sklyanin, Takhtadzhan, Truong, Warnaar, Warnaar, Zamolodchikov   +46 more
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q-Boson in Quantum Integrable Systems [PDF]

, 2007
q-bosonic realization of the underlying Yang-Baxter algebra is identified for a series of quantum integrable systems, including some new models like two-mode q-bosonic model leading to a coupled two-component derivative NLS model, wide range of q ...
Kundu, Anjan
core   +4 more sources

Boundary Flows in general Coset Theories

, 1998
In this paper we study the boundary effects for off-critical integrable field theories which have close analogs with integrable lattice models. Our models are the $SU(2)_{k}\otimes SU(2)_{l}/SU(2)_{k+l}$ coset conformal field theories perturbed by ...
Ahn C, Andrews G E, Bazhonov V V, Chaiho Rim, Changrim Ahn, Cherednik I V, Dorey P, Fateev V A, Fateev V A, Goshal S, Ravanini F, Sklyanin E K, Zamolodchikov A B, Zamolodchikov A B, Zamolodchikov Al B   +14 more
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Renormalization of twist-three operators and integrable lattice models [PDF]

, 1999
We address the problem of solution of the QCD three-particle evolution equations which govern the Q-dependence of the chiral-even quark-gluon-quark and three-gluon correlators contributing to a number of asymmetries at leading order and the transversely ...
Belitsky, A. V.
core   +3 more sources