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We consider globally regular and black hole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, coupled to a dilaton field. The basic solutions represent magnetic monopoles, monopole-antimonopole systems or black holes with monopole or…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Burkhard Kleihaus , Jutta Kunz , Francisco Navarro-Lérida , Ulrike Neemann

We find the general form of all the supersymmetric configurations and solutions of N=2,d=4 Einstein-Yang-Mills theories. In the timelike case, which we study in great detail, giving many examples, the solutions to the full supergravity…

High Energy Physics - Theory · Physics 2009-12-10 Mechthild Huebscher , Patrick Meessen , Tomas Ortin , Silvia Vaula

We show that the `instantonic' soliton of five-dimensional Yang-Mills theory and the closely related BPS monopole of four-dimensional Yang-Mills/Higgs theory continue to be exact static, and stable, solutions of these field theories even…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , D. Kastor , L. A. J. London , P. K. Townsend , J. Traschen

Following a generic approach that leads to Bogomolny-Prasad-Sommerfield (BPS) soliton solutions by imposing self-duality, we investigate three different types of non-Hermitian field theories. We consider a complex version of a logarithmic…

High Energy Physics - Theory · Physics 2020-10-29 Andreas Fring , Takanobu Taira

We find exact multi-instanton solutions to the selfdual Yang-Mills equation on a large class of curved spaces with $SO(3)$ isometry, generalizing the results previously found on $\mathbb{R}^4$. The solutions are featured with explicit…

High Energy Physics - Theory · Physics 2021-07-02 Jun Nian , Yachao Qian

SU(4) Einstein-Yang-Mills theory possesses sequences of static spherically symmetric globally regular and black hole solutions. Considering solutions with a purely magnetic gauge field, based on the 4-dimensional embedding of $su(2)$ in…

High Energy Physics - Theory · Physics 2010-11-19 Burkhard Kleihaus , Jutta Kunz , Abha Sood , Marion Wirschins

Regular monopole and dyon solutions to the SU(2) Einstein Yang-Mills equations in asymptotically anti-de Sitter space are discussed. A class of monopole solutions are shown to be stable against spherically symmetric linear perturbations.

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yutaka Hosotani , Jefferson Bjoraker

In the SU(3) Einstein-Yang-Mills system sequences of static spherically symmetric regular solutions and black hole solutions exist for both the SU(2) and the SO(3) embedding. We construct the lowest regular solutions of the SO(3) embedding,…

High Energy Physics - Theory · Physics 2009-10-28 Burkhard Kleihaus , Jutta Kunz , Abha Sood

This paper is concerned with magnetic monopole solutions of SU(3) Yang-Mills-Higgs system beyond the Bogomol'nyi-Prasad-Sommerfield limit. The different SU(2) embeddings, which correspond to the fundamental monopoles, as well the embedding…

High Energy Physics - Theory · Physics 2009-11-10 Yasha Shnir

The Euclidean version of Yang-Mills theory coupled to a massive dilaton is investigated. Our analytical and numerical results imply existence of infinite number of branches of globally regular, spherically symmetric, dyonic type solutions…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , G. Lavrelashvili

We study the question of whether a sequence of non-instanton Yang-Mills connections can limit to a bubbling configuration composed only of instantons. In the case that the Uhlenbeck limit and the bubbles are of opposite charge, we determine…

Differential Geometry · Mathematics 2026-04-17 Alex Waldron , Hao Yin

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-dilaton theory. Like their spherically symmetric counterparts, these solutions are nonsingular and asymptotically flat. The solutions are characterized by the…

High Energy Physics - Theory · Physics 2016-09-06 Burkhard Kleihaus , Jutta Kunz

We here investigate static, spherically symmetric solutions to $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$ in the case of dyonic solutions, which possess a non-trivial electric sector…

General Relativity and Quantum Cosmology · Physics 2019-08-29 J. Erik Baxter

I explain how to construct noncommutative BPS configurations in four and lower dimensions by solving linear matrix equations. Examples are instantons in D=4 Yang-Mills, monopoles in D=3 Yang-Mills-Higgs, and (moving) solitons in D=2+1…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld

We construct dyon solutions on a collection of coincident D4-branes, obtained by applying the group of T-duality transformations to a type I SO(32) superstring theory in 10 dimensions. The dyon solutions, which are exact, are obtained from…

High Energy Physics - Theory · Physics 2015-04-14 Edward A. Olszewski

We give exact solutions for a recently developed ~$N=1$~ locally supersymmetric self-dual gauge theories in $~(2+2)\-$dimensions. We give the exact solutions for an $~SL(2)$~ self-dual Yang-Mills multiplet and what we call ``self-dual…

High Energy Physics - Theory · Physics 2009-10-22 Hitoshi Nishino

In the pure Einstein-Yang-Mills theory in four dimensions there exist monopole and dyon solutions. The spectrum of the solutions is discrete in asymptotically flat or de Sitter space, whereas it is continuous in asymptotically anti-de…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yutaka Hosotani , Jefferson Bjoraker

We construct sequences of axially symmetric multisphaleron solutions in SU(2) Yang-Mills-dilaton theory. The sequences are labelled by a winding number $n>1$. For $n=1$ the known sequence of spherically symmetric sphaleron solutions is…

High Energy Physics - Theory · Physics 2014-11-18 Burkhard Kleihaus , Jutta Kunz

We systematically classify 1/2, 1/4 and 1/8 BPS equations in SUSY gauge theories in d=6, 5, 4, 3 and 2 with eight supercharges, with gauge groups and matter contents being arbitrary. Instantons (strings) and vortices (3-branes) are only…

High Energy Physics - Theory · Physics 2010-04-05 Minoru Eto , Youichi Isozumi , Muneto Nitta , Keisuke Ohashi

The Yang-Mills (YM) equation in three spacetime dimensions (3D) can be modified to include a novel parity-preserving interaction term, with inverse mass parameter, in addition to a possible topological mass term. The novelty is that the…

High Energy Physics - Theory · Physics 2015-05-13 Alex S. Arvanitakis , Alexander Sevrin , Paul K. Townsend
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