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

  title={Analytic (non)integrability of Arutyunov-Bassi-Lacroix model},
  author={Jitendra Singh Pal and Arnab Mukherjee and Arindam Lala and Dibakar Roychowdhury},
1 Citations

Chaotic spin chains in AdS/CFT

We consider the spectrum of anomalous dimensions in planar N = 4 supersymmetric Yang-Mills theory and its N = 1 super-conformal Leigh-Strassler deformations. The two-loop truncation of the integrable



Integrability and non-Integrability in N = 2 SCFTs and their Holographic Backgrounds

We show that the string worldsheet theory of Gaiotto-Maldacena holographic duals to N = 2 superconformal field theories generically fails to be classically integrable. We demonstrate numerically that

Chaotic string dynamics in deformed T1,1

Recently, Arutyunov, Bassi and Lacroix have shown that 2D non-linear sigma model with a deformed T1,1 background is classically integrable [arXiv:2010.05573 [hep-th]]. This background includes a

The non-integrability of strings in massive type IIA and their holographic duals

A bstractIn this work we study various aspects of six-dimensional N$$ \mathcal{N} $$ = (1, 0) SCFTs. We consider the construction of their string duals in Massive IIA and discuss some observables in

On marginal deformations and non-integrability

A bstractWe study the interplay between a particular marginal deformation of $ \mathcal{N} $ = 4 super Yang-Mills theory, the β deformation, and integrability in the holographic setting. Using modern

Non-integrability in non-relativistic theories

A bstractGeneric non-relativistic theories giving rise to non-integrable string solutions are classified. Our analysis boils down to a simple algebraic condition for the scaling parameters of the

(Non)-integrability of geodesics in D-brane backgrounds

A bstractMotivated by the search for new backgrounds with integrable string theories, we classify the D-brane geometries leading to integrable geodesics. Our analysis demonstrates that the

Analytic integrability for holographic duals with $$ J\overline{T} $$ deformations

We probe warped BTZ $ \times S^3 $ geometry with various string solitons and explore the classical integrability criteria of the associated phase space configurations using Kovacic's algorithm. We

Melnikov’s method in String Theory

A bstractMelnikov’s method is an analytical way to show the existence of classical chaos generated by a Smale horseshoe. It is a powerful technique, though its applicability is somewhat limited. In

Integrability and holographic aspects of six-dimensional N = (1 ; 0) superconformal (cid:12)eld theories

: In the framework of six-dimensional conformal (cid:12)eld theories with N = (1 ; 0) supersymmetry we develop the map between the holographic description, the (cid:12)eld theoretical description and

Non-integrability in AdS3 vacua

We ask the question of classical integrability for certain (classes of) supergravity vacua that contain an AdS$_3$ factor arising in massive IIA and IIB theories and realizing various and different