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We apply two very different approaches to calculate Skyrmions with baryon number B less than 23. The first employs the rational map ansatz, where approximate charge B Skyrmions are constructed from a degree B rational map between Riemann…

High Energy Physics - Theory · Physics 2009-11-07 Richard Battye , Paul Sutcliffe

We construct Skyrme fields from holonomy of the spin connection of multi-Taub-NUT instantons with the centres positioned along a line in $\mathbb{R}^3.$ Our family of Skyrme fields includes the Taub-NUT Skyrme field previously constructed…

High Energy Physics - Theory · Physics 2018-10-11 Prim Plansangkate

The Skyrme-Faddeev-Niemi (SFN) model which is an O(3) $\sigma$ model in three dimensional space upto fourth-order in the first derivative is regarded as a low-energy effective theory of SU(2) Yang-Mills theory. One can show from the…

High Energy Physics - Phenomenology · Physics 2015-06-25 N. Sawado , N. Shiiki , S. Tanaka

In this paper, we present all constant solutions of the Yang-Mills equations with ${\rm SU}(2)$ gauge symmetry for an arbitrary constant non-Abelian current in Euclidean space ${\mathbb R}^n$ of arbitrary finite dimension $n$. Using the…

Mathematical Physics · Physics 2020-03-03 D. S. Shirokov

Numerical methods are used to compute sphaleron solutions of the Skyrme model. These solutions have topological charge zero and are axially symmetric, consisting of an axial charge n Skyrmion and an axial charge -n antiSkyrmion (with n…

High Energy Physics - Theory · Physics 2009-11-10 Steffen Krusch , Paul Sutcliffe

We introduce a novel decomposition of the four dimensional SU(2) gauge field. This decomposition realizes explicitely a symmetry between electric and magnetic variables, suggesting a duality picture between the corresponding phases. It also…

High Energy Physics - Theory · Physics 2009-11-07 Ludvig Faddeev , Antti J. Niemi

The N=4 gauged SU(2)$\times$SU(1,1) supergravity in four-dimensional Euclidean space is obtained via a consistent dimensional reduction of the N=1, D=10 supergravity on $S^3\times AdS_3$. The dilaton potential in the theory is proportional…

High Energy Physics - Theory · Physics 2015-06-26 Mikhail S. Volkov

We propose a construction of Skyrme fields from holonomy of the spin connection of gravitational instantons. The procedure is implemented for Atiyah-Hitchin and Taub-NUT instantons. The skyrmion resulting from the Taub-NUT is given…

High Energy Physics - Theory · Physics 2017-02-08 Maciej Dunajski

Open superstring field theory admits a "hybrid" formulation where N = 1 D = 4 supersymmetry is manifest for Calabi-Yau compactifications to four dimensions. Using this formulation, the half-BPS instanton solution of four-dimensional…

High Energy Physics - Theory · Physics 2022-09-21 Nathan Berkovits , Vilson Fabricio Juliatto , Ulisses M. Portugal

We consider the partition function for Euclidean $SU(N)$ super Yang-Mills on a squashed seven-sphere. We show that the localization locus of the partition function has instanton membrane solutions wrapping the six "fixed" three-spheres on…

High Energy Physics - Theory · Physics 2023-03-08 Joseph A. Minahan , Usman Naseer , Charles Thull

Exact formula for the force between two identical static point charges coupled to the nonlinear scalar field of two-dimensional signum-Gordon model is obtained. Pertinent solution of the field equation is found in the form of…

High Energy Physics - Theory · Physics 2015-10-22 H. Arodź , J. Karkowski , Z. Świerczyński

Action of 4 dimensional N=4 supersymmetric Yang-Mills theory is written by employing the superfields in N=4 superspace which were used to prove the equivalence of its constraint equations and equations of motion. Integral forms of the…

High Energy Physics - Theory · Physics 2007-05-23 O. F. Dayi , K. Ulker

We construct solutions of an Einstein-Yang-Mills system including a cosmological constant in 4+n space-time dimensions, where the n-dimensional manifold associated with the extra dimensions is taken to be Ricci flat. Assuming the matter and…

High Energy Physics - Theory · Physics 2010-11-19 Yves Brihaye , Betti Hartmann

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

Calorons (periodic instantons) interpolate between monopoles and instantons, and their holonomy gives approximate Skyrmion configurations. We show that, for each caloron charge N \leq 4, there exists a one-parameter family of calorons which…

High Energy Physics - Theory · Physics 2009-11-10 R. S. Ward

Numerical evidence for a cosmological version of the Bartnik-McKinnon family of particle-like solutions of the Einstein-Yang-Mills system is presented. Our solutions are also static, but space has the topology of a three-sphere. By…

General Relativity and Quantum Cosmology · Physics 2008-02-03 P. Molnar

We discuss the equivalence between a string theory and the two-dimensional Yang-Mills theory with SU(N) gauge group for finite N. We find a sector which can be interpreted as a sum of covering maps from closed string world-sheets to the…

High Energy Physics - Theory · Physics 2009-11-10 Toshihiro Matsuo , So Matsuura

Globally regular (ie. asymptotically flat and regular interior), spherically symmetric and localised ("particle-like") solutions of the coupled Einstein Yang-Mills (EYM) equations with gauge group SU(2) have been known for more than 20…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Robert A. Bartnik , Mark Fisher , Todd A. Oliynyk

We study two classes of static uniform black string solutions in a (4+1)-dimensional SU(2) Einstein-Yang-Mills model. These configurations possess a regular event horizon and corresponds in a 4-dimensional picture to axially symmetric black…

High Energy Physics - Theory · Physics 2013-05-29 Y. Brihaye , B. Hartmann , E. Radu

String-inspired 1+1-dimensional gravity is coupled to Yang-Mills fields in the Cangemi-Jackiw gauge-theoretical formulation, based on the extended Poincar\'e group. A family of couplings, which involves metrics obtainable from the physical…

High Energy Physics - Theory · Physics 2011-09-09 G. Amelino-Camelia , D. Bak , D. Seminara
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