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We consider the non-abelian self-dual two-form theory arXiv:1203.4224 and find new exact solutions. Our solutions are supported by Yang-Mills (anti)instantons in 4-dimensions and describe wave moving in null directions. We argue and provide…

High Energy Physics - Theory · Physics 2015-06-16 Chong-Sun Chu , Hiroshi Isono

In the presence of a background supergravity flux, N M2-branes will expand via the Myers effect into M5-branes wrapped on a fuzzy three-sphere. In previous work the fluctuations of the M2-branes were shown to be described by the…

High Energy Physics - Theory · Physics 2013-05-30 N. Lambert , H. Nastase , C. Papageorgakis

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

We present an asymptotically flat, spherically symmetric, static, globally regular and horizonless solution of SU$(2)$-gauged $\mathcal{N}=1,d=5$ supergravity. The SU$(2)$ gauge field is that of the BPST instanton. We argue that this…

High Energy Physics - Theory · Physics 2017-08-02 Pablo A. Cano , Tomas Ortin , Pedro F. Ramirez

In this paper we consider an $SU(2)$ Yang-Mills field propagating in the $4+1$ dimensional wormhole spacetime. Assuming the spherically symmetric magnetic ansatz the problem reduces to a one dimensional non linear wave equation. This…

Analysis of PDEs · Mathematics 2025-11-20 Michał Kowalczyk , Javier Monreal

We evaluate the gauge invariant, dynamically conserved charges, recently obtained from the integral form of the Yang-Mills equations, for the BPS multi-dyon solutions of a Yang-Mills-Higgs theory associated to any compact semi-simple gauge…

High Energy Physics - Theory · Physics 2016-01-27 C. P. Constantinidis , L. A. Ferreira , G. Luchini

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

Instantons in massless theories do not carry over to massive theories due to Derrick's theorem. This theorem can, however, be circumvented, if a constraint that restricts the scale of the instanton is imposed on the theory. Constrained…

High Energy Physics - Theory · Physics 2008-11-26 Morten Nielsen , N. K. Nielsen

We study the Einstein-Yang-Mills equations in a 6-dimensional space-time. We make a self-consistent static, spherically symmetric ansatz for the gauge fields and the metric. The metric of the manifold associated with the two extra…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Fabien Clement , Betti Hartmann

The potential between two separated D-instantons at fixed (super) space-time points is obtained by a simple explicit integration over the `massive' variables of the zero-dimensional reduction of ten-dimensional U(2) super Yang-Mills theory.…

High Energy Physics - Theory · Physics 2009-10-30 M. B. Green , M. Gutperle

We present a novel approach to constructing gravitational instantons based on the observation that the gravitational action of general relativity in its teleparallel formulation can be expressed as a product of the torsion and excitation…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Martin Krššák

We compute the ultraviolet divergences in the self-dual Yang-Mills theory, both in the purely perturbative (zero instanton charge) and topologically non-trivial sectors. It is shown in particular that the instanton measure is precisely the…

High Energy Physics - Theory · Physics 2018-02-23 Andrey Losev , Igor Polyubin , Alexei Rosly

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

A continuum of monopole, dyon and black hole solutions exist in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. Their structure is studied in detail. The solutions are classified by non-Abelian electric and magnetic…

High Energy Physics - Theory · Physics 2008-11-26 J. Bjoraker , Y. Hosotani

For commutative Euclidean time, we study the existence of field configurations that {\it a)} are formal power series expansions in $h\theta^{\m\n}$, {\it b)} go to ordinary (anti-)instantons as $h\theta^{\m\n}\to 0$, and {\it c)} render…

High Energy Physics - Theory · Physics 2009-11-11 C. P. Martin , C. Tamarit

Born-Infeld generalization of the Yang-Mills action suggested by the superstring theory gives rise to modification of previously known as well as to some new classical soliton solutions. Earlier it was shown that within the model with the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 D. V. Gal'tsov , V. V. Dyadichev

We study instanton solutions and superpotentials for the large number of vacua of the plane-wave matrix model and a 2+1 dimensional Super Yang-Mills theory on $R\times S^2$ with sixteen supercharges. We get the superpotential in the weak…

High Energy Physics - Theory · Physics 2015-03-11 Hai Lin

Instantons and W-bosons in 5d maximally supersymmetric Yang-Mills theory arise from a circle compactification of the 6d (2,0) theory as Kaluza-Klein modes and winding self-dual strings, respectively. We study an index which counts BPS…

High Energy Physics - Theory · Physics 2015-05-30 Hee-Cheol Kim , Seok Kim , Eunkyung Koh , Kimyeong Lee , Sungjay Lee

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory in the topologically trivial sector, representing gravitating monopole--antimonopole pairs, linked to the Bartnik-McKinnon solutions.

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , J. Kunz

An analysis is performed of instanton configurations in pure Euclidean Yang-Mills theory containing small Lorentz-violating perturbations that maintain gauge invariance. Conventional topological arguments are used to show that the general…

High Energy Physics - Theory · Physics 2015-06-26 Don Colladay , Pat McDonald
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