Chaos in classical string dynamics in $\hat{\gamma }$ deformed $Ad{S}_5\times T^{1,1}$

Abstract

We consider a circular string in $\hat{\gamma }$ deformed $Ad{S}_5\times T^{1,1}$ which is localized in the center of $Ad{S}_5$ and winds around the two circles of deformed $T^{1,1}$. We observe chaos in the phase space of the circular string implying non-integrability of string dynamics. The chaotic behaviour in phase space is controlled by energy as well as the deforming parameter $\hat{\gamma }$. We further show that the point like object exhibits non-chaotic behaviour. Finally we calculate the Lyapunov exponent for both extended and point like object in support of our first result.

arXiv comment15 pages

References in corpus (22)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Review of AdS/CFT Integrability: An Overview
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
• Chaos in the Gauge/Gravity Correspondence
• Analytic Non-integrability in String Theory
• Chaotic Scattering and Capture of Strings by Black Hole
• Chaos around Holographic Regge Trajectories
• On (non)integrability of classical strings in p-brane backgrounds
• Integrability Lost
• Lunin-Maldacena Deformations With Three Parameters
• Chaos in the BMN matrix model
• Chaotic strings in a near Penrose limit of AdS${}_5\times T^{1,1}$
• Non-integrability in non-relativistic theories
• Chaotic string-capture by black hole
• A String Theory Explanation for Quantum Chaos in the Hadronic Spectrum
• Confining Backgrounds and Quantum Chaos in Holography
• Chaos in Lifshitz Spacetimes

Cited by in corpus (18)

• Integrability and non-Integrability in N=2 SCFTs and their Holographic Backgrounds
• The non-Integrability of Strings in Massive Type IIA and their Holographic duals
• Chaotic dynamics of strings in charged black hole backgrounds
• Chaos of Wilson Loop from String Motion near Black Hole Horizon
• The fate of chaotic strings in a confining geometry
• Non-integrability and Chaos with Unquenched Flavor
• Analytic integrability for strings on $\eta$ and $\lambda$ deformed backgrounds
• Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field
• Constraining integrable AdS/CFT with factorized scattering
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• Integrability and non-integrability for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
• Classical and quantum chaos of closed strings on a charged confining holographic background
• Analytic (non)integrability of Arutyunov-Bassi-Lacroix model
• Integrability and non-integrability for holographic dual of Matrix model and non-Abelian T-dual of AdS${}_5\times$S${}^5$
• Chaotic string dynamics in Bosonic $\eta$-deformed $Ad{S}_5\times T^{1,1}$ background
• Turbulence on open string worldsheets under non-integrable boundary conditions
• Non-Integrability of Strings in $Ad{S}_6\times S^2\times \Sigma$ Background and its 5D Holographic Duals