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Related papers: Integrability Lost

200 papers

Boundary integrability provides rare analytic control over field theories with interfaces, from quantum impurity problems to open string dynamics. We propose an analytic approach for integrable boundaries in two-dimensional sigma-models…

High Energy Physics - Theory · Physics 2026-03-13 Julio Cabello Gil , Sibylle Driezen

We study various rotating and oscillating D-string configurations in some general backgrounds with fluxes. In particular, we look for solutions to the equations of motion of various rigidly rotating D-strings in $AdS_3$ background with…

High Energy Physics - Theory · Physics 2016-05-25 Aritra Banerjee , Sagar Biswas , Rashmi R. Nayak

Integrable non-linear Hamiltonian systems perturbed by additive noise develop a Lyapunov instability, and are hence chaotic, for any amplitude of the perturbation. This phenomenon is related, but distinct, from Taylor's diffusion in…

Chaotic Dynamics · Physics 2014-01-03 Khanh-Dang Nguyen Thu Lam , Jorge Kurchan

We study the instability of higher-dimensional rotating anti-de Sitter black holes through fragmentation. Fragmentation occurs when black holes rotate too fast to sustain their horizon, and then the black holes are broken into small pieces.…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Bogeun Gwak , Bum-Hoon Lee

In the framework of the static patch approach to de Sitter holography introduced in [arXiv:2109.14104], the growth of holographic complexity has a hyperfast behaviour, which leads to a divergence in a finite time. This is very different…

High Energy Physics - Theory · Physics 2023-07-19 Roberto Auzzi , Giuseppe Nardelli , Gabriel Pedde Ungureanu , Nicolo Zenoni

We study the behavior of classical dimer coverings of the square lattice - a paradigmatic model for systems subject to constraints - evolving under local stochastic dynamics, by means of Monte Carlo simulations and theoretical arguments. We…

Statistical Mechanics · Physics 2016-03-17 Tom Oakes , Juan P. Garrahan , Stephen Powell

The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at…

High Energy Physics - Theory · Physics 2017-08-23 Stanley J. Brodsky , Guy F. de Teramond

In this paper, we make a systematical and in-depth study on the chaotic dynamics of the string around the conformal black hole. Depending on the characteristic parameter of the conformal black hole and the initial position of the string,…

High Energy Physics - Theory · Physics 2022-05-03 Da-Zhu Ma , Fang Xia , Dan Zhang , Guoyang Fu , Jian-Pin Wu

We consider an instance of the AdS/CFT duality where the bulk theory contains an open string tachyon, and study the instability from the viewpoint of the boundary field theory. We focus on the specific example of the AdS_5 X S^5 background…

High Energy Physics - Theory · Physics 2015-05-18 Elli Pomoni , Leonardo Rastelli

In this work we study the nonlinear dynamics of the static and the driven ellipse. In the static case, we find numerically an asymptotical algebraic decay for the escape of an ensemble of non-interacting particles through a small hole due…

Chaotic Dynamics · Physics 2008-01-07 Florian Lenz , Fotis K. Diakonos , Peter Schmelcher

A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight…

High Energy Physics - Theory · Physics 2023-05-03 Connor Behan

We study classical spinning closed string configuration on logarithmically deformed AdS_5 x T^{1,1} background with non-trivial Neveu-Schwarz B-field in which IIB string theory is dual to a non-conformal N=1 SU(N+M) x SU(N) gauge theory.…

High Energy Physics - Theory · Physics 2009-11-11 Xiao-Jun Wang

It was suggested in hep-th/0002106, that semiclassically, a partition function of a string theory in the 5 dimensional constant negative curvature space with a boundary condition at the absolute satisfy the loop equation with respect to…

High Energy Physics - Theory · Physics 2009-10-31 M. Zyskin

We review a special class of semiclassical string states in AdS_5 x S^5 which have a regular expansion of their energy in integer powers of the ratio of the square of string tension (`t Hooft coupling) and the square of large angular…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

Based on the recently considered classical string configurations, in the framework of the semi-classical limit of the string/gauge theory correspondence, we describe a procedure for obtaining exact classical string solutions in general…

High Energy Physics - Theory · Physics 2007-05-23 D. Aleksandrova , P. Bozhilov

We establish the equivalence of a 2D contour dynamics to the dispersionless limit of the integrable Toda hierarchy constrained by a string equation. Remarkably, the same hierarchy underlies 2D quantum gravity.

Exactly Solvable and Integrable Systems · Physics 2009-10-31 Mark Mineev-Weinstein , Paul B. Wiegmann , Anton Zabrodin

In this paper, we will compute the holographic complexity (dual to a volume in AdS), holographic fidelity susceptibility and the holographic entanglement entropy (dual to an area in AdS) in a two-dimensional version of $AdS$ which is dual…

High Energy Physics - Theory · Physics 2018-06-07 Kazuharu Bamba , Davood Momeni , Mudhahir Al Ajmi

We extend our earlier work, regarding the perturbative stability of string configurations used for computing the interaction potential of heavy quarks within the gauge/gravity correspondence, to cover a more general class of gravity duals.…

High Energy Physics - Theory · Physics 2008-11-26 Spyros D. Avramis , Konstadinos Sfetsos , Konstadinos Siampos

I discuss conceptual issues associated with the presence of metastable AdS vacua in the string landscape. The geometry of the decay from one AdS to another is presented in detail, and various subtleties that are not present for flat or dS…

High Energy Physics - Theory · Physics 2015-03-13 Daniel Harlow

String theory on $AdS_3$ has a solvable single-trace irrelevant deformation that is closely related to $T\bar T$. For one sign of the coupling, it leads to an asymptotically linear dilaton spacetime, and a corresponding Hagedorn spectrum.…

High Energy Physics - Theory · Physics 2020-08-17 Soumangsu Chakraborty , Amit Giveon , David Kutasov