Analytic (non)integrability of Arutyunov-Bassi-Lacroix model
High Energy Physics - Theory
2021-07-20 v2
Abstract
We use the notion of the gauge/string duality and discuss the Liouvillian (non) integrability criteria for string sigma models in the context of recently proposed Arutyunov-Bassi-Lacroix (ABL) model [JHEP \textbf{03} (2021), 062]. Our analysis complements those previous results due to numerical analysis as well as Lax pair formulation. We consider a winding string ansatz for the deformed torus which can be interpreted as a system of coupled pendulums. Our analysis reveals the Liouvillian nonintegrablity of the associated sigma model. We also obtain the \emph{generalized} decoupling limit and confirm the analytic integrability for the decoupled sector.
Keywords
Cite
@article{arxiv.2106.01237,
title = {Analytic (non)integrability of Arutyunov-Bassi-Lacroix model},
author = {Jitendra Pal and Arnab Mukherjee and Arindam Lala and Dibakar Roychowdhury},
journal= {arXiv preprint arXiv:2106.01237},
year = {2021}
}
Comments
12 pages; One reference added; Accepted for publication in Physics Letters B (PLB)