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We construct the soliton solutions in the symmetric space sine-Gordon theories. The latter are a series of integrable field theories in 1+1-dimensions which are associated to a symmetric space F/G, and are related via the Pohlmeyer…

High Energy Physics - Theory · Physics 2015-05-20 Timothy J. Hollowood , J. Luis Miramontes

Solitonic objects play a central role in gauge and string theory (as, e.g., monopoles, black holes, D-branes, etc.). Certain string backgrounds produce a noncommutative deformation of the low-energy effective field theory, which allows for…

High Energy Physics - Theory · Physics 2008-11-26 Olaf Lechtenfeld

Subject of this talk is an overview of results on self-gravitating solitons of the classical Yang-Mills-Higgs theory. One finds essentially two classes of solitons, one of them corresponding to the magnetic monopoles the other one to the…

General Relativity and Quantum Cosmology · Physics 2016-01-27 D. Maison

A topological monopole-like field configuration exists for Yang-Mills gauge fields in a 4+1 dimensions. When the extra dimension is compactified to 3+1 dimensions with periodic lattice boundary conditions, these objects reappear in the low…

High Energy Physics - Theory · Physics 2009-11-07 Christopher T. Hill

We consider the classical equations of the Einstein-Yang-Mills model in five space-time dimensions and in the presence of a cosmological constant. We assume that the fields do not depend on the extra dimension and that they are spherically…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , T. Delsate

We obtain localized field configurations with finite energy in a ($2+1$)-dimensional model with Maxwell and Chern-Simons gauge terms coupled to a massive complex scalar field. These non-topological solitons are characterized by the $U(1)$…

High Energy Physics - Theory · Physics 2026-02-05 Ivan Ivashkin , Eduard Kim , Emin Nugaev , Yakov Shnir

We construct octonionic multi-instantons for the eight and seven dimensional Yang-Mills theory. Extended soliton solutions to the low-energy heterotic field theory equations of motion are constructed from these octonionic multi-instantons.…

High Energy Physics - Theory · Physics 2008-12-19 E. K. Loginov

We present several new space-periodic solutions of the static vacuum Einstein equations in higher dimensions, both with and without black holes, having Kasner asymptotics. These latter solutions are referred to as gravitational solitons.…

Differential Geometry · Mathematics 2022-04-25 Marcus Khuri , Martin Reiris , Gilbert Weinstein , Sumio Yamada

In both Yang-Mills theories and sigma models, instantons are endowed with degrees of freedom associated to their scale size and orientation. It has long been conjectured that these degrees of freedom have a dual interpretation as the…

High Energy Physics - Theory · Physics 2009-08-11 Benjamin Collie , David Tong

We study (2+1)-dimensional multicomponent spatial vector solitons with a nontrivial topological structure of their constituents, and demonstrate that these solitary waves exhibit a symmetry-breaking instability provided their total…

Pattern Formation and Solitons · Physics 2009-11-07 Anton S. Desyatnikov , Yuri S. Kivshar , Kristian Motzek , Friedemann Kaiser , Carsten Weilnau , Cornelia Denz

We study the existence of smooth topological solitons and black strings as locally-stable saddles of the Euclidean gravitational action of five dimensional Einstein-Maxwell theory. These objects live in the Kaluza-Klein background of four…

High Energy Physics - Theory · Physics 2022-05-18 Ibrahima Bah , Anindya Dey , Pierre Heidmann

Some models providing shell-shaped static solutions with compact support (compactons) in 3+1 and 4+1 dimensions are introduced, and the corresponding exact solutions are calculated analytically. These solutions turn out to be topological…

High Energy Physics - Theory · Physics 2015-05-13 C. Adam , P. Klimas , J. Sanchez-Guillen , A. Wereszczynski

We show that a non-trivial topological effect breaks the conformal invariance of pure Yang-Mills theory. Thus it is possible that classic particle-like solutions exists in pure non-Abelian Yang-Mills theory. We find a static, non-singular…

High Energy Physics - Theory · Physics 2007-05-23 X. -J. Wang , M. -L. Yan

We study the existence of classical soliton solutions with intrinsic angular momentum in Yang-Mills-Higgs theory with a compact gauge group $\mathcal{G}$ in (3+1)-dimensional Minkowski space. We show that for \textit{symmetric} gauge fields…

High Energy Physics - Theory · Physics 2016-09-06 Mikhail S. Volkov , Erik Woehnert

We introduce a model designed to describe charged particles as stable topological solitons of a field with values on the internal space S^3. These solitons behave like particles with relativistic properties like Lorentz contraction and…

High Energy Physics - Theory · Physics 2009-09-25 Manfried Faber

In this paper the conditions, under which non-topological solitons are absent in the Yang-Mills theory coupled to a non-linear scalar field in Minkowski space, are obtained in a very simple way. It is also shown that non-topological…

Mathematical Physics · Physics 2015-05-20 Mikhail N. Smolyakov

A four-dimensional topological field theory is introduced which generalises $B\wedge F$ theory to give a Bogomol'nyi structure. A class of non-singular, finite-Action, stable solutions to the variational field equations is identified. The…

High Energy Physics - Theory · Physics 2008-02-03 M. Temple-Raston

Profiles of static solitons in one-dimensional scalar field theory satisfy the same equations as trajectories of a fictitious particle in multidimensional mechanics. We argue that the structure and properties of the solitons are essentially…

High Energy Physics - Theory · Physics 2020-07-13 D. G. Levkov , V. E. Maslov , E. Ya. Nugaev

We consider classical dynamics of two real scalar fields within a model with the potential having a saddle point. The solitons of such model are field configurations that have the form of closed loops in the field space. We study the…

High Energy Physics - Theory · Physics 2018-04-18 Vakhid A. Gani , Alexander A. Kirillov , Sergey G. Rubin

$QCD_2$ with fermions in the adjoint representation is invariant under $SU(N)/Z_N$ and thereby is endowed with a non-trivial vacuum structure (k-sectors). The static potential between adjoint charges, in the limit of infinite mass, can be…

High Energy Physics - Theory · Physics 2009-10-31 A. Bassetto , L. Griguolo , F. Vian
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