The anisotropic λ -deformed SU(2) model is integrable

Sfetsos, Konstantinos; Siampos, Konstadinos (2015). The anisotropic λ -deformed SU(2) model is integrable. Physics letters. B, 743, pp. 160-165. Elsevier 10.1016/j.physletb.2015.02.040

[img]
Preview
Text
1-s2.0-S0370269315001318-main.pdf - Published Version
Available under License Creative Commons: Attribution (CC-BY).

Download (310kB) | Preview

The all-loop anisotropic Thirring model interpolates between the WZW model and the non-Abelian T-dual of the anisotropic principal chiral model. We focus on the SU(2) case and we prove that it is classically integrable by providing its Lax pair formulation. We derive its underlying symmetry current algebra and use it to show that the Poisson brackets of the spatial part of the Lax pair, assume the Maillet form. In this way we procure the corresponding r and s matrices which provide non-trivial solutions to the modified Yang–Baxter equation.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Siampos, Konstadinos

Subjects:

500 Science > 530 Physics

ISSN:

0370-2693

Publisher:

Elsevier

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

11 Mar 2015 14:34

Last Modified:

11 Mar 2015 14:34

Publisher DOI:

10.1016/j.physletb.2015.02.040

BORIS DOI:

10.7892/boris.64210

URI:

https://boris.unibe.ch/id/eprint/64210

Actions (login required)

Edit item Edit item
Provide Feedback