Results 31 to 40 of about 30,334 (209)
The Bethe ansatz as a matrix product ansatz [PDF]
Journal of Physics A: Mathematical and General, 2003 4 pages and no ...
Alcaraz, Francisco C., Lazo, Matheus J.
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Gaudin models for gl(m|n) [PDF]
, 2014 Date of Acceptance: 16/04/2015We establish the basics of the Bethe ansatz for the Gaudin model associated to the Lie superalgebra gl(m|n). In particular, we prove the completeness of the Bethe ansatz in the case of tensor products of fundamental ...
Benoît Vicedo +10 more
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Spectrum of the quantum integrable D 2 2 $$ {D}_2^{(2)} $$ spin chain with generic boundary fields
Journal of High Energy Physics, 2022 Exact solution of the quantum integrable D 2 2 $$ {D}_2^{(2)} $$ spin chain with generic integrable boundary fields is constructed. It is found that the transfer matrix of this model can be factorized as the product of those of two open staggered ...
Guang-Liang Li +4 more
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Massless AdS 2 scattering and Bethe ansatz [PDF]
Journal of High Energy Physics, 2017 We first analyse the integrable scattering theory describing the massless excitations of $AdS_2 \times S^2 \times T^6$ superstrings in the relativistic limit. The matrix part of the S-matrix is obtained in the BMN limit from the conjectured exact expression, and compared with known S-matrices with N=1 supersymmetry.
Fontanella, Andrea +1 more
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Bethe Ansatz and Bethe Vectors Scalar Products [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_3)$ is given. This result is obtained in the framework of the universal Bethe ansatz, using presentation of the universal Bethe vectors in terms of the total currents of a "new ...
Belliard, Samuel +2 more
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Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Nuclear Physics B, 2019 An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in the form of ...
Pascal Baseilhac, Rodrigo A. Pimenta
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Exact solution of the one-dimensional super-symmetric t-J model with unparallel boundary fields
, 2014 The exact solution of the one-dimensional super-symmetric t-J model under generic integrable boundary conditions is obtained via the Bethe ansatz methods.
Cao, Junpeng +4 more
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Algebraic Bethe Ansatz for O(2N) sigma models with integrable diagonal boundaries [PDF]
, 2016 The finite volume problem of O(2N) sigma models with integrable diagonal boundaries on a finite interval is investigated. The double row transfer matrix is diagonalized by Algebraic Bethe Ansatz.
Gombor, Tamas, Palla, Laszlo
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Jordan blocks and the Bethe Ansatz I: The eclectic spin chain as a limit
Nuclear Physics B, 2022 We present a procedure to extract the generalised eigenvectors of a non-diagonalisable matrix by considering a diagonalisable perturbation of it and computing the non-diagonalisable limit of its eigenvectors.
Juan Miguel Nieto García, Leander Wyss
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Exact solution of the simplest super-orthosymplectic invariant magnet
, 1994 We present the exact solution of the $Osp(1|2)$ invariant magnet by the Bethe ansatz approach. The associated Bethe ansatz equation exhibit a new feature by presenting an explicit and distinct phase behaviour in even and odd sectors of the theory.
A. Foerster +16 more
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