BPS Monopoles

@inproceedings{Sutcliffe1997BPSM,
  title={BPS Monopoles},
  author={P. Sutcliffe},
  year={1997}
}
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 Seiberg-Witten theory are also made. 

Figures from this paper

Monopole-antimonopole chains
Abstract We present new static axially symmetric solutions of SU(2) Yang–Mills–Higgs theory, representing chains of monopoles and antimonopoles in static equilibrium. They correspond to saddlepointsExpand
TASI Lectures on Solitons Lecture 2: Monopoles
In this second lecture we describe the physics of ’t Hooft-Polyakov magnetic monopoles when embedded in supersymmetric SU(N) gauge theories. We cover properties of the solutions and the moduli spacesExpand
Explicit SU(5) monopole solutions
We describe in detail a general scheme for embedding several BPS monopoles into a theory with a larger gauge group, which generalizes embeddings of SU(2) monopoles discussed by several authors. ThisExpand
On the Constraints Defining BPS Monopoles
Abstract: We discuss the explicit formulation of the transcendental constraints defining spectral curves of SU(2) BPS monopoles in the twistor approach of Hitchin, following Ercolani and Sinha. WeExpand
Exact Solutions of the SU(2) Yang-Mills-Higgs Theory
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 axiallyExpand
BPS states for scalar field theories based on g 2 and su ( 4 ) algebras
We discuss two models in 1+1 dimensional space-time for real scalar field multiplets on the root space of g2 and su(4) Lie algebras. The construction of these models is presented and theExpand
TASI Lectures on Solitons
In this third lecture we turn our attention to vortex strings in non-abelian gauge theories. Once again we describe the various properties of the solutions and a D-brane construction of the vortexExpand
Dyons with axial symmetry
We construct axially symmetric dyons in SU(2) Yang-Mills-Higgs theory. In the Prasad-Sommerfield limit, they are obtained via scaling relations from axially symmetric multimonopole solutions. ForExpand
Monopole Dynamics in N = 2 super Yang-Mills Theory From a Threebrane Probe
Abstract The BPS states of N = 2 super Yang-Mills theory with gauge group SU (2) are constructed as non-trivial finite-energy solutions of the world-volume theory of a threebrane probe in F-theory.Expand
Monopole-antimonopole solution of the SU(2) Yang-Mills-Higgs model
As shown by Taubes, in the Bogomol'nyi-Prasad-Sommerfield limit the SU(2) Yang-Mills-Higgs model possesses smooth finite energy solutions, which do not satisfy the first order Bogomol'nyi equations.Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 84 REFERENCES
A note on the (1, 1,…,1) monopole metric
Abstract Recently Lee et al. in CU-TP-739, hep-th/9602167 , calculated the asymptotic metric on the moduli space of (1, 1, …, 1) BPS monopoles and conjectured that it was globally exact. In thisExpand
Multi-Monopole Moduli Spaces for SU(n) Gauge Group
The moduli space describing the low-energy dynamics of BPS multi-monopoles for several charge configurations is presented. We first prove the conjectured form of the moduli space of $n-1$ distinctExpand
Instantons, three-dimensional gauge theory, and the Atiyah-Hitchin manifold
Abstract We investigate quantum effects on the Coulomb branch of three-dimensional N = 4 super-symmetric gauge theory with gauge group SU (2). We calculate perturbative and one-instantonExpand
HyperKähler Quotient Construction of BPS Monopole Moduli Spaces
Abstract:We use the HyperKähler quotient of flat space to obtain some monopole moduli space metrics in explicit form. Using this new description, we discuss their topology, completeness andExpand
Rational maps, monopoles and skyrmions
We discuss the similarities between BPS monopoles and Skyrmions, and point to an underlying connection in terms of rational maps between Riemann spheres. This involves the introduction of a newExpand
Gauge Dynamics And Compactification To Three Dimensions
We study four dimensional $N=2$ supersymmetric gauge theories on $R^3 \times S^1$ with a circle of radius $R$. They interpolate between four dimensional gauge theories ($R=\infty$) and $N=4$Expand
SU(3) monopoles and their fields
Some aspects of the fields of charge two SU(3) monopoles with minimal symmetry breaking are discussed. A certain class of solutions look like SU(2) monopoles embedded in SU(3) with a transitionExpand
The Geometry and Dynamics of Magnetic Monopoles
Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particularExpand
Nucl. Phys. B
  • Nucl. Phys. B
  • 1997
Nucl. Phys. B
  • Nucl. Phys. B
  • 1997
...
1
2
3
4
5
...