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We construct a partial compactification of the moduli space, M_k, of SU(2) magnetic monopoles on R^3, wherein monopoles of charge k decompose into widely separated 'monopole clusters' of lower charge going off to infinity at comparable…

Differential Geometry · Mathematics 2015-12-10 Chris Kottke , Michael Singer

It has been known for 30 years that 't Hooft-Polyakov monopoles of charge Q greater than one cannot be spherically symmetric. 5 years ago, Bolognesi conjectured that, at some point in their moduli space, BPS monopoles can become…

High Energy Physics - Theory · Physics 2014-01-13 Jarah Evslin , Sven Bjarke Gudnason

The (2k+2)-dimensional Einstein-Yang-Mills equations for gauge group SO(2k) (or SU(2) for k=2 and SU(3) for k=3) are shown to admit a family of spherically-symmetric magnetic monopole solutions, for both zero and non-zero cosmological…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , P. K. Townsend

The $sp(2M)$ invariant unfolded system is considered in the periodic twistor-like spinor space. Complete set of non-trivial charges corresponding to the global symmetry compatible with the periodicity conditions is constructed. Residual…

High Energy Physics - Theory · Physics 2017-06-28 Y. O. Goncharov , M. A. Vasiliev

According to the proposal of Hanany and Witten, Coulomb branches of N=4 SU(n) gauge theories in three dimensions are isometric to moduli spaces of BPS monopoles. We generalize this proposal to gauge theories with matter, which allows us to…

High Energy Physics - Theory · Physics 2009-10-30 Sergey A. Cherkis , Anton Kapustin

We construct a spherically symmetric noncommutative space in three dimensions by foliating the space with concentric fuzzy spheres. We show how to construct a gauge theory in this space and in particular we derive the noncommutative version…

High Energy Physics - Theory · Physics 2009-11-11 E. F. Moreno

We find static spherically symmetric monopoles in Einstein-Born-Infeld-Higgs model in 3+1 dimensions. The solutions exist only when a parameter $\a $ (related to the strength of Gravitational interaction) does not exceed certain critical…

High Energy Physics - Theory · Physics 2010-11-19 Prasanta K. Tripathy

Axially symmetric equilibrium configurations of the conformally invariant Willmore energy are shown to satisfy an equation that is two orders lower in derivatives of the embedding functions than the equilibrium shape equation, not one as…

Soft Condensed Matter · Physics 2009-11-11 Pavel Castro-Villarreal , Jemal Guven

We use the moduli space approximation to study the time evolution of magnetically charged configurations in a theory with an SU(N+2) gauge symmetry spontaneously broken to U(1) x SU(N) x U(1). We focus on configurations containing two…

High Energy Physics - Theory · Physics 2009-11-07 Xingang Chen , Erick J. Weinberg

We review classical BPS monopoles, their moduli spaces, twistor descriptions and dynamics. Particular emphasis is placed upon symmetric monopoles, where recent progress has been made. Some remarks on the role of monopoles in S-duality and…

High Energy Physics - Theory · Physics 2008-11-26 Paul Sutcliffe

Effects of mass deformations on 1/2 Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian vortices are studied in 4d N=2 supersymmetric U(1) \times SO(2n) and U(1) \times USp(2n) gauge theories, with Nf=2n quark multiplets. The 2d N=(2,2)…

High Energy Physics - Theory · Physics 2011-12-19 Minoru Eto , Toshiaki Fujimori , Sven Bjarke Gudnason , Yunguo Jiang , Kenichi Konishi , Muneto Nitta , Keisuke Ohashi

Motivated by multi-centered black hole solutions of Maxwell-Einstein theories of (super)gravity in D=4 space-time dimensions, we develop some general methods, that can be used to determine all homogeneous invariant polynomials on the…

Mathematical Physics · Physics 2015-06-12 Sergio L. Cacciatori , Alessio Marrani , Bert van Geemen

We investigate the interplay between the moduli spaces of ample <2>-polarized IHS manifolds of type K3^[2] and of IHS manifolds of type K3^[2] with a nonsymplectic involution with invariant lattice of rank one. In particular we…

Algebraic Geometry · Mathematics 2020-01-08 Samuel Boissiere , Andrea Cattaneo , Dimitri Markushevich , Alessandra Sarti

We study the monopole h-invariants of 3-manifolds from a topological perspective based on Lidman and Manolescu's description of monopole Floer homology in terms of Seiberg-Witten-Floer homotopy types. We investigate the possible dependence…

Geometric Topology · Mathematics 2023-10-31 Stefan Behrens

We study manifolds arising as spaces of sections of complex manifolds fibering over the projective line with normal bundle of each section isomorphic to several copies of O(k). Such manifolds provide a natural setting for certain integrable…

Differential Geometry · Mathematics 2007-05-23 Roger Bielawski

We derive parts of the monopole and dyon spectra for N=2 super-Yang--Mills theories in four dimensions with gauge groups G of rank r>1 and matter multiplets. Special emphasis is put on G=SU(3) and those matter contents that yield…

High Energy Physics - Theory · Physics 2008-02-03 Martin Cederwall , Magnus Holm

We present a general method to add KK-monopole charge to any asymptotically flat stationary axisymmetric solution of five dimensional General Relativity. The technique exploits the underlying SL(3,R) invariance of the system by identifying…

High Energy Physics - Theory · Physics 2008-11-26 Jon Ford , Stefano Giusto , Amanda Peet , Ashish Saxena

We study moduli spaces of Seiberg-Witten monopoles over spin^c Riemannian 4-manifolds with long necks and/or tubular ends. This first part discusses compactness, exponential decay, and transversality. As applications we prove two vanishing…

Differential Geometry · Mathematics 2014-11-11 Kim A Froyshov

We propose an N=4 supersymmetric quantum mechanics of a charged particle on a sphere in the background of Dirac magnetic monopole and study the system using the CP(1) model approach. We explicitly calculate the symmetry algebra taking the…

High Energy Physics - Theory · Physics 2009-11-11 Soon-Tae Hong , Joohan Lee , Tae Hoon Lee , Phillial Oh

A numerical study of static spherically symmetric monople solutions of a spontaneously broken SU(2) gauge theory coupled to a dilaton field is presented. Regular solutions seem to exist only up to a maximal value of the dilaton coupling. In…

High Energy Physics - Theory · Physics 2010-11-19 Peter Forgacs , Jozsef Gyurusi