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Bethe ansatz for the universal weight function
Annales Henri Poincare. A Journal of Theoretical and Mathematical Physics. 2009. Vol. 10. No. 3. P. 513–548.
We consider universal off-shell Bethe vectors given in terms of Drinfeld
realization of the algebra Uq(glN). We investigate ordering properties
of the product of the transfer matrix and these vectors. We derive that
these vectors are eigenvectors of the transfer matrix if their Bethe parameters
satisfy the universal Bethe equations.
Research target:
Philosophy, Ethics, and Religious Studies
Language:
English
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Novikova A., Бережная М. А., Кирия И. В., КноРус, 2026.
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Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
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Girinsky A., Вестник Томского государственного университета 2026 № 525 С. 67–73
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Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
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Morozov D., Вестник Православного Свято-Тихоновского гуманитарного университета. Серия 1: Богословие. Философия. Религиоведение 2026 № 124 С. 45–58
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М.: ООО «Макс Пресс», 2026.
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Taletskii D., / Series arXiv "math". 2026.
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Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
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Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
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Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
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We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
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