scholarly journals Completeness of Bethe ansatz by Sklyanin SOV for cyclic representations of integrable quantum models

2011 ◽  
Vol 2011 (3) ◽  
Author(s):  
G. Niccoli
Keyword(s):  
Bethe Ansatz ◽  
Integrable Quantum ◽  
Quantum Models

Local Hamiltonians for integrable quantum models on a lattice

1983 ◽  
Vol 57 (2) ◽  
pp. 1059-1073 ◽  
Author(s):  
V. O. Tarasov ◽  
L. A. Takhtadzhyan ◽  
L. D. Faddeev
Keyword(s):  
Integrable Quantum ◽  
Quantum Models

LOCAL HAMILTONIANS FOR INTEGRABLE QUANTUM MODELS ON A LATTICE

2016 ◽  
pp. 339-353
Author(s):  
V. O. Tarasov ◽  
L.A. Takhtadzhyan ◽  
L. D. Faddeev
Keyword(s):  
Integrable Quantum ◽  
Quantum Models

scholarly journals Pseudoparticle approach to 1D integrable quantum models

2018 ◽  
Vol 749 ◽  
pp. 1-90 ◽  
Author(s):  
J.M.P. Carmelo ◽  
P.D. Sacramento
Keyword(s):  
Integrable Quantum ◽  
Quantum Models

scholarly journals Bethe ansatz for quantum-deformed strings

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Fiona K. Seibold ◽  
Alessandro Sfondrini
Keyword(s):  
Bethe Ansatz ◽  
Transfer Matrix ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Asymptotic Spectrum ◽  
Integrable Structure ◽  
Conserved Charges ◽  
Integrable Quantum ◽  
Quantum Deformations ◽  
Bethe Equations

Abstract Two distinct η-deformations of strings on AdS5×S5 can be defined; both amount to integrable quantum deformations of the string non-linear sigma model, but only one is itself a superstring background. In this paper we compare their conjectured all-loop worldsheet S matrices and derive the corresponding Bethe equations. We find that, while the S matrices are apparently different, they lead to the same Bethe equations. Moreover, in either case the eigenvalues of the transfer matrix, which encode the conserved charges of each system, also coincide. We conclude that the integrable structure underlying the two constructions is essentially the same. Finally, we write down the full Bethe-Yang equations describing the asymptotic spectrum of the superstring background.

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