Conserved currents in quantum integrable models

1997 ◽  
Vol 113 (1) ◽  
pp. 1235-1243 ◽  
Author(s):  
E. V. Kopanev ◽  
S. V. Kryukov ◽  
M. A. Sukhoruchkin
Keyword(s):  
Integrable Models ◽  
Quantum Integrable Models ◽  
Conserved Currents

scholarly journals ALGEBRAIC ASPECT AND CONSTRUCTION OF LAX OPERATORS IN QUANTUM INTEGRABLE SYSTEMS

1995 ◽  
Vol 10 (40) ◽  
pp. 3113-3117 ◽  
Author(s):  
B. BASU-MALLICK ◽  
ANJAN KUNDU
Keyword(s):  
Integrable Systems ◽  
Integrable Models ◽  
Quantum Integrable Systems ◽  
Algebraic Construction ◽  
Algebraic Aspect ◽  
Quantum Integrable Models

An algebraic construction which is more general and closely connected with that of Faddeev,1 along with its application for generating different classes of quantum integrable models is summarized to complement the recent results of Ref. 1.

scholarly journals HYPER-KÄHLER METRICS BUILDING AND INTEGRABLE MODELS

1994 ◽  
Vol 09 (34) ◽  
pp. 3163-3173 ◽  
Author(s):  
E.H. SAIDI ◽  
M.B. SEDRA
Keyword(s):  
Integrable Systems ◽  
Constraint Equation ◽  
Integrable Models ◽  
Explicit Solutions ◽  
Harmonic Superspace ◽  
Kähler Metrics ◽  
Kahler Metrics ◽  
Conserved Currents

Methods developed for the analysis of integrable systems are used to study the problem of hyper-Kähler metrics building as formulated in D=2, N=4 supersymmetric harmonic superspace. We show in particular that the constraint equation [Formula: see text] and its Toda-like generalizations are integrable. Explicit solutions together with the conserved currents generating the symmetry responsible for the integrability of these equations are given. Other features are also discussed.

FROM INHOMOGENEOUS SIX-VERTEX LATTICE MODELS TO CONTINUUM QUANTUM INTEGRABLE MODELS

1992 ◽  
Vol 07 (25) ◽  
pp. 6385-6403
Author(s):  
Y.K. ZHOU
Keyword(s):  
Integrable Systems ◽  
Scaling Limit ◽  
Lattice Models ◽  
Integrable Models ◽  
Two Dimensional ◽  
Vertex Model ◽  
Quantum Integrable Systems ◽  
Vertex Models ◽  
Quantum Integrable Models ◽  
Sine Gordon Model

A method to find continuum quantum integrable systems from two-dimensional vertex models is presented. We explain the method with the example where the quantum sine-Gordon model is obtained from an inhomogeneous six-vertex model in its scaling limit. We also show that the method can be applied to other models.

ON N = 4 INTEGRABLE MODELS

1994 ◽  
Vol 09 (06) ◽  
pp. 891-913 ◽  
Author(s):  
E. H. SAIDI ◽  
M. B. SEDRA
Keyword(s):  
Integrable Models ◽  
Conformal Algebra ◽  
Liouville Theory ◽  
Conformal Anomaly ◽  
Conserved Currents

Using the FS and HST versions of the free N = 4 matter multiplet (O4, (1/2)4), we construct two N = 4 SU(2) conformal superfield models. The corresponding N = 4 conserved currents are given. We find that no N = 4 SU(2) Liouville model exists as long as the SU(2) KM symmetry is manifestly preserved. However allowing an explicit breaking of the SU(2) KM subsymmetry of the N = 4 conformal algebra down to U(1) KM, we obtain a Feigin–Fuchs extension of the N = 4 supercurrent showing that N = 4 Liouville theory and its Toda generalizations could exist. Quantization and the N = 4 conformal anomaly are studied.

scholarly journals ompleteness of SoV Representation for SL(2,R) Spin Chains

2021 ◽  
Author(s):  
Sergey E. Derkachov ◽  
◽  
Karol K. Kozlowski ◽  
Alexander N. Manashov ◽  
◽  
...  
Keyword(s):  
Singular Integrals ◽  
Separation Of Variables ◽  
Spin Chains ◽  
Integrable Models ◽  
New Method ◽  
Infinite Dimensional ◽  
Rank One ◽  
Quantum Integrable Models

This work develops a new method, based on the use of Gustafson's integrals and on the evaluation of singular integrals, allowing one to establish the unitarity of the separation of variables transform for infinite-dimensional representations of rank one quantum integrable models. We examine in detail the case of the SL(2,R) spin chains.

scholarly journals Recurrence relations for off-shell Bethe vectors in trigonometric integrable models

2022 ◽  
Author(s):  
Andrew Liashyk ◽  
Stanislav Pakuliak
Keyword(s):  
Scalar Product ◽  
Recurrence Relations ◽  
Monodromy Matrix ◽  
Integrable Models ◽  
Zero Modes ◽  
Quantum Integrable Models

Abstract The zero modes method is applied in order to get action of the monodromy matrix entries onto off-shell Bethe vectors in quantum integrable models associated with $U_q(\mathfrak{gl}_N)$-invariant $\RR$-matrices. The action formulas allowto get recurrence relations for off-shell Bethe vectors and for highest coefficients of the Bethe vectors scalar product.

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