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If a scalar field theory in (1+1) dimensions possesses soliton solutions obeying first order BPS equations, then, in general, it is possible to find an infinite number of related field theories with BPS solitons which obey closely related…

High Energy Physics - Theory · Physics 2015-06-16 C. Adam , L. A. Ferreira , E. da Hora , A. Wereszczynski , W. J. Zakrzewski

In recent work, several classes of solitonic solutions of string theory with higher-membrane structure have been obtained. These solutions can be classified according to the symmetry possessed by the solitons in the subspace of the…

High Energy Physics - Theory · Physics 2009-10-22 Ramzi R. Khuri

The O(3) sigma model in two spatial dimensions admits topological (Bogomol'nyi) lower bound on its energy. This paper proposes a lattice version of this system which maintains the Bogomol'nyi bound and allows the explicit construction of…

High Energy Physics - Theory · Physics 2016-09-06 Theodora Ioannidou

Two new families of T-Dual integrable models of dyonic type are constructed. They represent specific $A_n^{(1)}$ singular Non-Abelian Affine Toda models having U(1) global symmetry. Their 1-soliton spectrum contains both neutral and U(1)…

High Energy Physics - Theory · Physics 2009-10-31 J. F. Gomes , E. P. Gueuvoghlanian , G. M. Sotkov , A. H. Zimerman

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

Self-dual abelian Higgs system, involving both the Maxwell and Chern-Simons terms are obtained from Carroll-Field-Jackiw theory by dimensional reduction. Bogomol'nyi-type equations are studied from theoretical and numerical point of view.…

High Energy Physics - Theory · Physics 2013-09-30 Rodolfo Casana , Lucas Sourrouille

We construct static solutions to a SU(2) Yang--Mills (YM) dilaton model in 4+1 dimensions subject to bi-azimuthal symmetry. The YM sector of the model consists of the usual YM term and the next higher order term of the YM hierarchy, which…

High Energy Physics - Theory · Physics 2008-11-26 Eugen Radu , Ya. Shnir , D. H. Tchrakian

Certain static soliton configurations of gauge fields in 4+1 dimensions correspond to the instanton in 4-Euclidean dimensions ``turned on its side,'' becoming a monopole in 4+1. The periodic instanton solution can be used with the method of…

High Energy Physics - Theory · Physics 2009-10-31 Christopher T. Hill , Pierre Ramond

Multi-instanton solutions in the eight and seven dimensional Yang-Mills fields theory is obtained. Extended-soliton solutions to the low-energy heterotic-field-theory equations of motion is constructed from this higher-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 E. K. Loginov

Some aspects of the multidimensional soliton geometry are considered. It is shown that some simples (2+1)-dimensional equations are exact reductions of the Self-Dual Yang-Mills equation or its higher hierarchy.

Mathematical Physics · Physics 2007-05-23 Kur. R. Myrzakul , R. Myrzakulov

We provide a review of non-topological solitonic solutions arising in theories with a complex scalar field and global or gauge $U(1)$-symmetry. It covers Q-balls, homogeneous charged scalar condensates, and nonlinear localized holes and…

High Energy Physics - Theory · Physics 2020-04-22 Emin Nugaev , Andrey Shkerin

We find classically stable solitons (instantons) in odd (even) dimensional scalar noncommutative field theories whose scalar potential, $V(\ph)$, has at least two minima. These solutions are bubbles of the false vacuum whose size is set by…

High Energy Physics - Theory · Physics 2009-10-31 Rajesh Gopakumar , Shiraz Minwalla , Andrew Strominger

The concept of soliton, in its most general version, allows us to find canonical or distinguished elements on any set provided with an equivalence relation and an `optimal' tangent direction at each point. We study in this paper solitons on…

Differential Geometry · Mathematics 2019-12-24 Jorge Lauret

Certain higher dimensional operators of the lagrangian may render the vacuum inhomogeneous. A rather rich phase structure of the phi4 scalar model in four dimensions is presented by means of the mean-field approximation. One finds para-…

High Energy Physics - Theory · Physics 2009-10-30 V. Branchina , H. Mohrbach , J. Polonyi

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 consider a complex vector bundle E endowed with a connection A over the eight-dimensional manifold R^2 x G/H, where G/H = SU(3)/U(1)xU(1) is a homogeneous space provided with a never integrable almost complex structure and a family of…

High Energy Physics - Theory · Physics 2014-11-20 Alexander D. Popov

We present a class of general relativistic soliton-like solutions composed of multiple minimally coupled, massive, real scalar fields which interact only through the gravitational field. We describe a two-parameter family of solutions we…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Scott H. Hawley , Matthew W. Choptuik

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 consider self-dual Yang-Mills instantons in 4-dimensional Kaehler spaces with one holomorphic isometry and show that they satisfy a generalization of the Bogomol'nyi equation for magnetic monopoles on certain 3-dimensional metrics. We…

High Energy Physics - Theory · Physics 2018-02-07 Samuele Chimento , Tomas Ortin , Alejandro Ruiperez

The Casimir energy for the classically stable configurations of the topological solitons in 2D quantum antiferromagnets is studied by performing the path-integral over quantum fluctuations. The magnon fluctuation around the solitons…

Strongly Correlated Electrons · Physics 2018-06-29 Hirohiko Shimada , Kazutaka Takahashi , Hiroaki. T. Ueda