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Related papers: A note on the reduction of the AdS4 x CP3 string s…

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In this paper we study in detail the deformations introduced in [1] of the integrable structures of the AdS$_{2,3}$ integrable models. We do this by embedding the corresponding scattering matrices into the most general solutions of the…

High Energy Physics - Theory · Physics 2022-05-06 Marius de Leeuw , Anton Pribytok , Ana L. Retore , Paul Ryan

Conformal field theory of the D1/D5 system and superstrings on $AdS_3\times S^3\times T^4$ is studied with particular attention to the world-sheet fields corresponding to the $T^4$ part. A solution to the spacetime N=4 superconformal…

High Energy Physics - Theory · Physics 2009-10-31 Abbas Ali

We consider the most general string configurations on the R_t x S^3 subspace of AdS_5 xS^5, described by the Neumann-Rosochatius integrable system. Under some restrictions on the parameters of the solution and in an appropriate limit, they…

High Energy Physics - Theory · Physics 2010-10-27 Plamen Bozhilov

We provide a first-principles, perturbative derivation of the AdS5/CFT4 Y-system that has been proposed to solve the spectrum problem of N=4 SYM. The proof relies on the computation of quantum effects in the fusion of some loop operators,…

High Energy Physics - Theory · Physics 2015-05-30 Raphael Benichou

The purpose of this paper is to further study the soft-wall AdS/QCD model with constrained IR background. By including a quartic bulk scalar potential we study various meson and nucleon spectra. This model naturally realizes the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Sheng Liu , Peng Zhang

We study integrable deformations of AdS/CFT by focusing upon three kinds of warped AdS_3 geometries, 1) space-like warped AdS_3, 2) time-like warped AdS_3 and 3) null warped AdS_3. These geometries are embedded into type IIB supergravity…

High Energy Physics - Theory · Physics 2015-06-15 Takashi Kameyama , Kentaroh Yoshida

Most linear dimension reduction methods proposed in the literature can be formulated using an appropriate pair of scatter matrices, see e.g. Ye and Weiss (2003), Tyler et al. (2009), Bura and Yang (2011), Liski et al. (2014) and Luo and Li…

Methodology · Statistics 2024-04-12 Klaus Nordhausen , Hannu Oja , David E. Tyler

In this paper, we focus on model reduction of biomolecular systems with multiple time-scales, modeled using the Linear Noise Approximation. Considering systems where the Linear Noise Approximation can be written in singular perturbation…

Dynamical Systems · Mathematics 2016-09-27 Narmada Herath , Domitilla Del Vecchio

We present a detailed analysis of the cosmic string spectrum. Explicit solutions are numerically found using Mathematica and presented here for the lowest-lying supported modes. Most of the emphasis is on the Nambu-Goldstone modes and the…

High Energy Physics - Theory · Physics 2015-12-11 Nicholas Agia

We introduce a uniform light-cone gauge for strings propagating in AdS space-time. We use the gauge to analyze strings from the su(1|1) sector, and show that the reduced model is described by a quadratic action for two complex fermions.…

High Energy Physics - Theory · Physics 2009-11-11 Gleb Arutyunov , Sergey Frolov

While Transformer has become the de-facto standard for speech, modeling upon the fine-grained frame-level features remains an open challenge of capturing long-distance dependencies and distributing the attention weights. We propose…

Computation and Language · Computer Science 2023-05-30 Chen Xu , Yuhao Zhang , Chengbo Jiao , Xiaoqian Liu , Chi Hu , Xin Zeng , Tong Xiao , Anxiang Ma , Huizhen Wang , JingBo Zhu

We show that bosonic spinning strings on the \eta-deformed AdS_5 x S^5 background are naturally described as periodic solutions of a novel finite-dimensional integrable system which can be viewed as a deformation of the celebrated Neumann…

High Energy Physics - Theory · Physics 2016-09-09 Gleb Arutyunov , Daniel Medina-Rincon

Very high dimensional nonlinear systems arise in many engineering problems due to semi-discretization of the governing partial differential equations, e.g. through finite element methods. The complexity of these systems present…

Optimization and Control · Mathematics 2022-09-15 Florian Mahlknecht , John Irvin Alora , Shobhit Jain , Edward Schmerling , Riccardo Bonalli , George Haller , Marco Pavone

Compressive sensing (CS) has recently emerged as a powerful framework for acquiring sparse signals. The bulk of the CS literature has focused on the case where the acquired signal has a sparse or compressible representation in an…

Information Theory · Computer Science 2013-06-24 Mark A. Davenport , Deanna Needell , Michael B. Wakin

In this paper, we investigate power-constrained sensing matrix design in a sparse Gaussian linear dimensionality reduction framework. Our study is carried out in a single--terminal setup as well as in a multi--terminal setup consisting of…

Information Theory · Computer Science 2015-10-28 Amirpasha Shirazinia , Subhrakanti Dey

We develop a model reduction technique for non-smooth dynamical systems using spectral submanifolds. Specifically, we construct low-dimensional, sparse, nonlinear and non-smooth models on unions of slow and attracting spectral submanifolds…

Dynamical Systems · Mathematics 2023-12-25 Leonardo Bettini , Mattia Cenedese , George Haller

In this paper, we propose new operator-splitting algorithms for the total variation regularized infimal convolution (TV-IC) model [4] in order to remove mixed Poisson-Gaussian(MPG) noise. In the existing splitting algorithm for TV-IC, an…

Optimization and Control · Mathematics 2020-01-29 Jie Zhang , Yuping Duan , Yue Lu , Michael K. Ng , Huibin Chang

Free bosonic strings in noncommutative spacetime are investigated. The string spectrum is obtained in terms of light-cone quantization. We construct two different models. In the first model the critical dimension is still required to be 26…

High Energy Physics - Theory · Physics 2007-05-23 Xiao-Jun Wang

Type II supergravity admits an AdS(3) x S(2) x S(2) x T(3) solution with fluxes depending on several free parameters. We determine the constraints on these parameters imposed by the requirement of (classical) integrability of the…

High Energy Physics - Theory · Physics 2017-05-15 Linus Wulff

A prescription is given for computing anomalous dimensions of single trace operators in SYM at strong coupling and large $N$ using a reduced model of matrix quantum mechanics. The method involves treating some parts of the operators as "BPS…

High Energy Physics - Theory · Physics 2010-10-27 Samuel E. Vazquez