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In the low energy domain of four-dimensional SU(2) Yang-Mills theory the spin and the charge of the gauge field can become separated from each other. The ensuing field variables describe the interacting dynamics between a version of the…

High Energy Physics - Theory · Physics 2008-11-26 Ludvig D. Faddeev , Antti J. Niemi

We study the spatial structure of 1/4 BPS solitons in 4 dimensional N=4 gauge theory. A weak binding approximation is used where the soliton is made of several "ingredient" particles. Some spatial moduli are described which are not…

High Energy Physics - Theory · Physics 2007-05-23 Barak Kol , Michael Kroyter

We investigate the existence of self-dual solitons with internal structure in a gauged $O(3)$ nonlinear sigma model immersed in a dielectric medium generated by a real scalar field (dubbed the source field). We consider rotationally…

High Energy Physics - Theory · Physics 2020-10-14 Rodolfo Casana , André C. Santos , M. L. Dias

D=2,N=2 generalized Wess-Zumino theory is investigated by the dimensional reduction from D=4,N=1 theory. For each solitonic configuration (i,j) the classical static solution is solved by the Hamilton-Jacobi method of equivalent…

High Energy Physics - Theory · Physics 2009-11-07 Nobuyuki Motoyui , Shogo Tominaga , Mitsuru Yamada

We present exact soliton solutions of anti-self-dual Yang-Mills equations for G=GL(N) on noncommutative Euclidean spaces in four-dimension by using the Darboux transformations. Generated solutions are represented by quasideterminants of…

Exactly Solvable and Integrable Systems · Physics 2020-07-24 Claire R. Gilson , Masashi Hamanaka , Shan-Chi Huang , Jonathan J. C. Nimmo

Some exact static solutions of the SU(2) Yang-Mills-Higgs theory are presented. These solutions satisfy the first order Bogomol'nyi equations, and possess infinite energies. They are axially symmetric and could possibly represent monopoles…

High Energy Physics - Theory · Physics 2009-10-31 Rosy Teh

We make a proposal for a bosonic field theory in twelve dimensions that admits the bosonic sector of eleven-dimensional supergravity as a consistent truncation. It can also be consistently truncated to a ten-dimensional Lagrangian that…

High Energy Physics - Theory · Physics 2009-10-07 N. Khviengia , Z. Khviengia , H. Lu , C. N. Pope

We consider a generalization of Jackiw-Pi model by introducing a nonstandard kinetic term. We present a Bogomolnyi framework for this theory and as a particular case we show that the Bogomolnyi equations of Chern-Simons Higgs theory can be…

High Energy Physics - Theory · Physics 2013-01-08 Lucas Sourrouille

Dualities provide deep insight into physics by relating two seemingly distinct theories. Here we propose and elaborate on a novel duality between bosonic and fermionic theories in four spacetime dimensions. Starting with a Euclidean lattice…

High Energy Physics - Theory · Physics 2019-05-15 Takuya Furusawa , Yusuke Nishida

At finite density, charge in holographic systems can be sourced either by explicit matter sources in the bulk or by bulk horizons. In this paper we find bosonic solutions of both types, breaking a global U(1) symmetry in the former case and…

High Energy Physics - Theory · Physics 2015-06-11 Alexander Adam , Benedict Crampton , Julian Sonner , Benjamin Withers

We construct static, asymptotically flat solutions of SU(2) Einstein-Yang-Mills theory in 4+1 dimensions, subject to bi-azimuthal symmetry. Both particle-like and black hole solutions are considered for two different sets of boundary…

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

In this paper we present several set of solutions of static and spherically symmetric solitonic boson stars. Each set is characterized by the value of {\sigma} that defines the solitonic potential in the complex scalar field theory. The…

General Relativity and Quantum Cosmology · Physics 2022-11-10 Lucas G. Collodel , Daniela D. Doneva

We consider a large N, two-family Calogero and matrix model in the Hamiltonian, collective-field approach. The Bogomol'nyi limit appears and the solutions to the coupled Bogomol'nyi-Prasad-Sommerfeld equations are given by the static…

High Energy Physics - Theory · Physics 2009-10-29 Velimir Bardek , Stjepan Meljanac , Daniel Meljanac

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

A class of noncanonical effective potentials is introduced allowing stable, radially symmetric, solutions to first order Bogomol'nyi equations for a real scalar field in a fixed spacetime background. This class of effective potentials…

High Energy Physics - Theory · Physics 2021-07-20 J. R. Morris

Topological Yang-Mills theory with the Belavin-Polyakov-Schwarz-Tyupkin $SU(2)$ instanton is solved completely, revealing an underlying multi-link intersection theory. Link invariants are also shown to survive the coupling to a certain kind…

High Energy Physics - Theory · Physics 2009-10-28 Damiano Anselmi

We study supersymmetric inhomogeneous field theories in 1+1 dimensions which have explicit coordinate dependence. Although translation symmetry is broken, part of supersymmetries can be maintained. In this paper, we consider the simplest…

High Energy Physics - Theory · Physics 2022-02-09 O-Kab Kwon , Chanju Kim , Yoonbai Kim

We demonstrate that all gauge instantons in a $d=3+1$ Yang-Mills theory, with generic topological vacuum charge K, correspond to soliton solutions and kink scalar fields in $d=4+1$ space-time.

High Energy Physics - Theory · Physics 2017-01-04 Andrea Addazi

With the help of the Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field, we find an integrable subsystem of SU(2) Yang-Mills theory coupled to the dilaton. Here integrability means the existence of infinitely many…

High Energy Physics - Theory · Physics 2010-11-11 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

We identify and analyze quasiperiodic and chaotic motion patterns in the time evolution of a classical, non-Abelian Bogomol'nyi-Prasad-Sommerfield (BPS) dyon pair at low energies. This system is amenable to the geodesic approximation which…

High Energy Physics - Theory · Physics 2007-05-23 Ricardo Fariello , Hilmar Forkel , Gastao Krein