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We study solitons in the two-dimensional defocusing nonlinear Schroedinger equation with the spatio-temporal modulation of the external potential. The spatial modulation is due to a square lattice; the resulting macroscopic diffraction is…

Pattern Formation and Solitons · Physics 2015-05-30 Ramon Herrero , I. V. Barashenkov , N. V. Alexeeva , Kestutis Staliunas

We expand on our results in arXiv:2111.02429 to present a broad new class of gravitational observables in asymptotically Anti-de Sitter space living on general codimension-zero regions of the bulk spacetime. By taking distinct limits, these…

High Energy Physics - Theory · Physics 2023-02-15 Alexandre Belin , Robert C. Myers , Shan-Ming Ruan , Gábor Sárosi , Antony J. Speranza

In this paper we demonstrate that solitons of a simple real scalar field model that are {\it static and linearly stable} do exist when considered in a (3+1)-dimensional, spatially compact space-time background, the static Einstein universe,…

High Energy Physics - Theory · Physics 2020-04-08 Betti Hartmann , Gabriel Luchini , Clisthenis P. Constantinidis , Carlos F. S. Pereira

We demonstrate the construction of solitons for a time-space Moyal-deformed integrable U(n) sigma model (the Ward model) in 2+1 dimensions. These solitons cannot travel parallel to the noncommutative spatial direction. For the U(1) case,…

High Energy Physics - Theory · Physics 2010-04-05 Chong-Sun Chu , Olaf Lechtenfeld

We obtain the Hamiltonian formulation of the 11D Supermembrane theory non-trivially compactified on a twice-punctured torus times a 9D Minkowski space-time. It corresponds to a M2-brane formulated in 11D space with ten non-compact…

High Energy Physics - Theory · Physics 2021-11-10 M. P. Garcia del Moral , P. Leon , A. Restuccia

We propose a topological soliton or instanton solution with nonzero Hopf invariant to the 3+1D non-Abelian gauge theory coupled with scalar fields. This solution, which we call Hopf soliton, represents a spacetime event that makes a $2\pi$…

Mathematical Physics · Physics 2015-06-19 Yan He , Hao Guo

If two dimensions of six-dimensional space-time are compactified, a topological configuration of Yang-Mills gauge field appears as a cosmic string in four dimensions, whose thickness is of the same order as the size of the compact space. We…

High Energy Physics - Theory · Physics 2019-09-30 Kiyoshi Shiraishi , Atsushi Nakamula

We establish the existence of time-dependent solitons in a modified gravity framework, which is defined by the low energy limit of theories with a weakly broken galileon symmetry and a mass term. These are regular vacuum configurations of…

General Relativity and Quantum Cosmology · Physics 2021-10-18 Juan Barranco , Javier Chagoya , Alberto Diez-Tejedor , Gustavo Niz , Armando A. Roque

The light-cone Hamiltonians for spin 1 and spin 2 fields, describing both the pure and the maximally supersymmetric theories, may be expressed as quadratic forms. In this paper, we show that this feature extends to light-cone higher spin…

High Energy Physics - Theory · Physics 2020-07-21 Sudarshan Ananth , Chetan Pandey , Saurabh Pant

Using spinorial geometry techniques, we classify the supersymmetric solutions of euclidean ${\cal N}=4$ super Yang-Mills theory. These backgrounds represent generalizations of instantons with nontrivial scalar fields turned on, and satisfy…

High Energy Physics - Theory · Physics 2009-10-20 Stephane Detournay , Dietmar Klemm , Carlo Pedroli

We study some aspects when one consider the existence of one extra-dimension in addition to a non-commutative space-time. We present here two different examples, where the first one provides a scenario were it is possible to relate the…

High Energy Physics - Theory · Physics 2019-02-05 M. Dias

A sequence of zero-temperature black-hole spacetimes with angular momentum and electric and magnetic charges is shown to exist in gauged $N=2$ supergravity. Stability of a subset of these spacetimes is demonstrated by saturation of the…

High Energy Physics - Theory · Physics 2009-09-25 Alan Kostelecky , Malcolm Perry

We formulate a quantum coherent state picture for topological and non-topological solitons. We recognize that the topological charge arises from the infinite occupation number of zero momentum quanta flowing in one direction. Thus, the…

High Energy Physics - Theory · Physics 2015-11-17 Gia Dvali , Cesar Gomez , Lukas Gruending , Tehseen Rug

The existence of solitons -- stable, long-lived, and localized field configurations -- is a generic prediction for ultralight dark matter. These solitons, known by various names such as boson stars, axion stars, oscillons, and Q-balls…

High Energy Physics - Phenomenology · Physics 2025-10-09 Hong-Yi Zhang

In the pure Einstein-Yang-Mills theory in four dimensions there exist monopole and dyon solutions. The spectrum of the solutions is discrete in asymptotically flat or de Sitter space, whereas it is continuous in asymptotically anti-de…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yutaka Hosotani , Jefferson Bjoraker

There is a lack of knowledge about the topological invariants of non-linear $d$-dimensional systems with a periodic potential. We study these systems through a classification of the linearized NLS/GP equation around their soliton solutions.…

Pattern Formation and Solitons · Physics 2020-12-10 Daniel Sheinbaum

We construct a new 2-parameter family of static topological solitons in 5D minimal supergravity which are endowed with magnetic charge and mass. The solitons are asymptotically ${\mathbb R}^4\times S^1$, where the radius of the $S^1$ has a…

High Energy Physics - Theory · Physics 2015-05-28 Sean Stotyn , Robert B. Mann

Certain supersymmetric sigma models in 2+1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace…

High Energy Physics - Theory · Physics 2008-11-26 Sergei V. Ketov , Olaf Lechtenfeld

To the working physicist, anyon theory is meant to describe certain quasi-particle excitations occurring in two dimensional topologically ordered systems. A typical calculation using this theory will involve operations such as $\otimes$ to…

Quantum Physics · Physics 2016-10-19 Simon Burton

We construct a classical solution of an Einstein-Yang-Mills system with a fourth order term with respect to the field strength of the Yang-Mills field. The solution provides a spontaneous compactification proposed by Cremmer and Scherk;…

High Energy Physics - Theory · Physics 2008-11-26 Hironobu Kihara , Muneto Nitta