Higher charges and regularized quantum trace identities in su(1,1) Landau-Lifshitz model

Abstract

We solve the operator ordering problem for the quantum continuous integrable su(1,1) Landau-Lifshitz model, and give a prescription to obtain the quantum trace identities, and the spectrum for the higher-order local charges. We also show that this method, based on operator regularization and renormalization, which guarantees quantum integrability, as well as the construction of self-adjoint extensions, can be used as an alternative to the discretization procedure, and unlike the latter, is based only on integrable representations.

27 pages; misprints corrected, references added

References in corpus (3)

• On quantum integrability of the Landau-Lifshitz model
• The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
• Thermodynamics of the quantum $su(1,1)$ Landau-Lifshitz model

Cited by in corpus (5)

• Quantum integrability of the Alday-Arutyunov-Frolov model
• On the quantization of continuous non-ultralocal integrable systems
• On the equivalence theorem for integrable systems
• The r-matrix of the Alday-Arutyunov-Frolov model
• Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models