Results 81 to 90 of about 840 (180)
On Bethe equations of 2d conformal field theory
Journal of High Energy PhysicsWe study the higher spin algebras of two-dimensional conformal field theory from the perspective of quantum integrability. Starting from Maulik-Okounkov instanton R-matrix and applying the procedure of algebraic Bethe ansatz, we obtain infinite commuting
Tomáš Procházka, Akimi Watanabe
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Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections
Nuclear Physics B, 2016 The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the SUq(3) R-matrix and generic integrable non-diagonal boundary conditions.
Guang-Liang Li +5 more
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Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We present a study of the two species totally asymmetric diffusion model using the Bethe ansatz. The Hamiltonian has U_q(SU(3)) symmetry. We derive the nested Bethe ansatz equations and obtain the dynamical critical exponent from the finite-size scaling ...
Birgit Wehefritz-Kaufmann
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Algebraic Bethe ansatz for the Temperley–Lieb spin-1 chain
Nuclear Physics B, 2016 We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley–Lieb open quantum chain with “free” boundary conditions.
Rafael I. Nepomechie, Rodrigo A. Pimenta
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Semiclassical Bethe ansatz and AdS/CFT [PDF]
Fortschritte der Physik, 2005 AbstractThe Bethe ansatz can be used to compute anomalous dimensions in 𝒩 = 4 SYM theory. The classical solutions of the sigma‐model on AdS5 × S5 can also be parameterized by an integral equation of Bethe type. The relationship between the two Bethe ansätze is reviewed.
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Bukhvostov–Lipatov model and quantum-classical duality
Nuclear Physics B, 2018 The Bukhvostov–Lipatov model is an exactly soluble model of two interacting Dirac fermions in 1+1 dimensions. The model describes weakly interacting instantons and anti-instantons in the O(3) non-linear sigma model. In our previous work [arXiv:1607.04839]
Vladimir V. Bazhanov +2 more
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Riemann zeros as quantized energies of scattering with impurities
Journal of High Energy PhysicsWe construct an integrable physical model of a single particle scattering with impurities spread on a circle. The S-matrices of the scattering with the impurities are such that the quantized energies of this system, coming from the Bethe Ansatz equations,
André LeClair, Giuseppe Mussardo
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Quantum wake dynamics in Heisenberg antiferromagnetic chains. [PDF]
Nat Commun, 2022 Scheie A +6 more
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On the Six-Vertex Model's Free Energy. [PDF]
Commun Math Phys, 2022 Duminil-Copin H +4 more
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Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra
Nuclear Physics BA quantum integrable spin chain model associated with the G2 exceptional Lie algebra is studied. By using the fusion technique, the closed recursive relations among the fused transfer matrices are obtained.
Guang-Liang Li +5 more
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