# BPS Monopoles

@inproceedings{Sutcliffe1997BPSM, title={BPS Monopoles}, author={Paul Sutcliffe}, year={1997} }

We review classical BPS monopoles, their moduli spaces, twistor descriptions and dy- namics. 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.

## 56 Citations

### TASI Lectures on Solitons Lecture 2: Monopoles

- Physics

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 spaces…

### On the Constraints Defining BPS Monopoles

- Mathematics
- 1999

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. We…

### Explicit SU(5) monopole solutions

- Economics
- 2002

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. This…

### Exact Solutions of the SU(2) Yang-Mills-Higgs Theory

- Physics
- 2000

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 axially…

### BPS states for scalar field theories based on g 2 and su ( 4 ) algebras

- Mathematics
- 2019

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 the…

### The charge $2$ monopole via the ADHMN construction

- PhysicsAdvances in Theoretical and Mathematical Physics
- 2021

Recently we have shown how one may use use integrable systems techniques to implement the ADHMN construction and obtain general analytic formulae for the charge n su(2) Euclidean monopole. Here we do…

### Dyons with axial symmetry

- Physics
- 2000

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. For…

### TASI Lectures on Solitons

- Physics
- 2005

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 vortex…

### Monopole-antimonopole solution of the SU(2) Yang-Mills-Higgs model

- Economics
- 1999

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.…

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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 $n-1$ distinct…

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- Physics
- 1997

We discuss the ADHMN construction for SU(N) monopoles and show that a particular simplification arises in studying charge N−1 monopoles with minimal symmetry breaking. Using this we construct…

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- Mathematics
- 1997

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- 1997

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 transition…

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