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Related papers: Giant magnons and non-maximal giant gravitons

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Using a recently proposed solution for an open antiferromagnetic spin-1/2 XXZ quantum spin chain with N (even) spins and two arbitrary boundary parameters at roots of unity, we compute the boundary scattering amplitudes for one-hole states.…

High Energy Physics - Theory · Physics 2008-11-26 Rajan Murgan

We study classical solutions to the Nambu-Goto string on $AdS_2 \times S^1$ and $AdS_3 \times S^1$ corresponding to strings stretched between wrapped branes extending in $AdS$. The solutions are obtained by analytic continuation of giant…

High Energy Physics - Theory · Physics 2020-06-17 David Berenstein , Adolfo Holguin

The quantization of the giant magnon away from the infinite size limit is discussed. We argue that this quantization inevitably leads to string theory on a Z_M-orbifold of S^5. This is shown explicitly and examined in detail in the near…

High Energy Physics - Theory · Physics 2013-05-29 Bojan Ramadanovic , Gordon W. Semenoff

The giant magnon is a rotating spiky string configuration which has the same dispersion relation between the energy and angular momentum as that of a spin magnon. In this paper we investigate the effects of the NS-NS and Melvin fields on…

High Energy Physics - Theory · Physics 2009-11-11 Wung-Hong Huang

The reflection matrices of multi magnon bound states are obtained explicitely by exploiting the Yangian symmetry of boundary scattering on the Y=0 maximal giant graviton brane.

High Energy Physics - Theory · Physics 2011-03-31 Laszlo Palla

We study integrable non-diagonal open boundary conditions for spin chains arising from holographic gauge theories. Their dual description is in terms of open strings stretching between giant gravitons intersecting at arbitrary angles inside…

High Energy Physics - Theory · Physics 2022-01-12 Adolfo Holguin

We find the exact solution for a finite size Giant Magnon in the $SU(2)\times SU(2)$ sector of the string dual of the $\mathcal{N}=6$ superconformal Chern-Simons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena. The…

High Energy Physics - Theory · Physics 2017-09-07 Gianluca Grignani , Troels Harmark , Marta Orselli , Gordon W. Semenoff

We study the asymptotic behavior and the scattering from infinity problem for the massive Maxwell-Klein-Gordon system in the Lorenz gauge, which were previously only studied for the massless system. For a general class of initial data, in…

Analysis of PDEs · Mathematics 2023-09-28 Xuantao Chen

In this note we present several ideas toward the solution to the giant graviton puzzle - the apparent multiplicity of supergravity states dual to field theory chiral primary operators. We use the fact that, for certain ranges of the angular…

High Energy Physics - Theory · Physics 2009-11-10 Iosif Bena , Douglas Smith

We propose a procedure for computing the direct scattering transform of the periodic sine-Gordon equation. This procedure, previously used within the periodic Korteweg-de Vries equation framework, is implemented for the case of the…

Pattern Formation and Solitons · Physics 2023-12-08 Filip Novkoski , Eric Falcon , Chi-Tuong Pham

We introduce a new family of integrable theories with $N$ bosons and $N$ freely adjustable mass parameters. These theories restrict in particular limits to the ``generalized supersymmetric'' sine-Gordon models, as well as to the flavor…

High Energy Physics - Theory · Physics 2009-10-31 Hubert Saleur , Prospero Simonetti

In this paper, we examine the complex sine-Gordon model in the presence of a boundary, and derive boundary conditions that preserve integrability. We present soliton and breather solutions, investigate the scattering of particles and…

High Energy Physics - Theory · Physics 2010-10-27 P. Bowcock , G. Tzamtzis

We consider the problem of boundary scattering for Y=0 maximal giant graviton branes. We show that the boundary S-matrix for the fundamental excitations has a Yangian symmetry. We then exploit this symmetry to determine the boundary…

High Energy Physics - Theory · Physics 2014-11-20 Changrim Ahn , Rafael I. Nepomechie

We study the 1D Klein-Gordon equation with variable coefficient cubic nonlinearity. This problem exhibits a striking resonant interaction between the spatial frequencies of the nonlinear coefficients and the temporal oscillations of the…

Analysis of PDEs · Mathematics 2014-04-08 Hans Lindblad , Avy Soffer

We study the classical spectrum of string theory on AdS_5 X S^5 in the Hofman-Maldacena limit. We find a family of classical solutions corresponding to Giant Magnons with two independent angular momenta on S^5. These solutions are related…

High Energy Physics - Theory · Physics 2009-11-11 Heng-Yu Chen , Nick Dorey , Keisuke Okamura

We find vacuum solutions such that massive gravitons are confined in a local spacetime region by their gravitational energy in asymptotically flat spacetimes in the context of the bigravity theory. We call such self-gravitating objects…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Katsuki Aoki , Kei-ichi Maeda , Yosuke Misonoh , Hirotada Okawa

It is studied the scattering of magnons by the 2d topological Belavin-Polyakov soliton in isotropic ferromagnet. Analytical solutions of the scattering problem are constructed: (i) exactly for any magnon wave vectors for the partial wave…

Strongly Correlated Electrons · Physics 2009-10-31 Boris A. Ivanov , Vladimir M. Muravyov , Denis D. Sheka

We study the remnants of Yangian symmetry of AdS/CFT magnons reflecting from boundaries with no degrees of freedom. We present the generalized twisted boundary Yangian of open strings ending on boundaries which preserve only a subalgebra h…

High Energy Physics - Theory · Physics 2011-01-04 Niall MacKay , Vidas Regelskis

We extend the Zamolodchikov-Faddeev algebra for the superstring sigma model on $AdS_{5}\times S^{5}$, which was formulated by Arutyunov, Frolov and Zamaklar, to the case of open strings attached to maximal giant gravitons, which was…

High Energy Physics - Theory · Physics 2014-11-18 Changrim Ahn , Rafael Nepomechie

We address the scattering problem in two-dimensional integrable models, focusing on the sine-Gordon theory. We use the S-matrix bootstrap approach based on analytical properties of the S-matrix to compute scattering amplitudes of the…

High Energy Physics - Theory · Physics 2023-11-29 Valeriia Stolbova