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

Roychowdhury, Dibakar

doi:10.1007/jhep09(2020)053

Cited by 9 publications

(5 citation statements)

References 32 publications

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“…It is known that a ring string is nonintegrable in thermal backgrounds, and also in generic Dp-brane backgrounds (although some very special cases can be integrable, even at finite temperature, see e.g. [93,94]). A…”

Section: Jhep04(2024)025mentioning

confidence: 99%

Correlation functions for open strings and chaos

Ðukić,

Čubrović

2024

J. High Energ. Phys.

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We study the holographic interpretation of the bulk instability, i.e. the bulk Lyapunov exponent in the motion of open classical bosonic strings in AdS black hole/brane/string backgrounds. In the vicinity of homogeneous and isotropic horizons the bulk Lyapunov exponent saturates the MSS chaos bound but in fact has nothing to do with chaos as our string configurations live in an integrable sector. In the D1-D5-p black string background, the bulk Lyapunov exponent is deformed away from the MSS value both by the rotation (the infrared deformation) and the existence of an asymptotically flat region (the ultraviolet deformation). The dynamics is still integrable and has nothing to do with chaos (either in gravity or in field theory). Instead, the bulk Lyapunov scale captures the imaginary part of quasinormal mode frequencies. Therefore, the meaning of the bulk chaos is that it determines the thermal decay rate due to the coupling to the heat bath, i.e. the horizon.

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Section: Jhep04(2024)025mentioning

confidence: 99%

Correlation functions for open strings and chaos

Ðukić,

Čubrović

2024

J. High Energ. Phys.

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“…Here Hermite[n, z] and 1 F 1 [a; b; z] are the Hermite polynomial function and Kummer confluent hypergeometric function, respectively. Clearly, this form of the solution is not Liouvillian indicating the non-integrability of the system [9,20,22,25,27]. Furthermore, using the change of variable [20,21,22,25,27]…”

Section: The Coupled Pendulum Modelmentioning

confidence: 99%

“…Clearly, this form of the solution is not Liouvillian indicating the non-integrability of the system [9,20,22,25,27]. Furthermore, using the change of variable [20,21,22,25,27]…”

Section: The Coupled Pendulum Modelmentioning

confidence: 99%

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

Pal,

Mukherjee,

Lala

et al. 2021

Preprint

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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 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 (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 generalized decoupling limit and confirm the analytic integrability for the decoupled sector.

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“…This method has been recently used to study integrability of a lot of string backgrounds, their respective duals and in other models. [43][44][45][50][51][52][53]. Given a system of diferential equations, the analysis of the variational equation around a particular solution can show its (non) integrability.…”

Section: Introductionmentioning

confidence: 99%

Non-Integrability of Strings in $AdS_{6}\times S^{2}\timesΣ$ Background and its 5D Holographic Duals

Alencar¹,

Tahim²

2021

Preprint

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In this manuscript we study Liouvillian non-integrability of strings in AdS6 × S 2 × Σ background and its 5D Holographic Duals. For this we consider soliton strings and look for simple solutions in order to reduce our equations to only one linear second order differential equation called NVE(normal variation equation ). We show that, differently of previous studies, the correct truncation is given by η = 0 and not σ = 0. With this we are able to study many recent cases considered in the literature: the abelian and non-abelian T-duals, the (p, q)-five-brane system, the TN ,+MN theories and the TN,P and +P,N quivers. We show that all of them, and therefore the respective field theory duals, are not integrable. Finally, we consider the general case at the boundary η = 0 and show that we can get general conclusions about integrability. For example, beyond the above quivers, we show generically that long quivers are not integrable.

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

Cited by 9 publications

References 32 publications

Correlation functions for open strings and chaos

Correlation functions for open strings and chaos

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

Non-Integrability of Strings in $AdS_{6}\times S^{2}\timesΣ$ Background and its 5D Holographic Duals

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