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arXiv · 2106.01237

Analytic (non)integrability of Arutyunov-Bassi-Lacroix model

Jitendra Pal·Arnab Mukherjee·Arindam Lala·Dibakar Roychowdhury
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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 $T^{\qty(λ_{1},λ_{2},λ)}_{k}$ 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.

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Jitendra Pal, Arnab Mukherjee, Arindam Lala, Dibakar Roychowdhury. 2021-07-01. Analytic (non)integrability of Arutyunov-Bassi-Lacroix model. https://doi.org/10.1016/j.physletb.2021.136496

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