Three Dimensional Gauge Theories and Monopoles
نویسنده
چکیده
The coulomb branch of N = 4 supersymmetric Yang-Mills gauge theories in d = 2 + 1 is studied. A direct connection between gauge theories and monopole moduli spaces is presented. It is proposed that the hyper-Kähler metric of supersymmetric N = 4 SU(N) Yang-Mills theory is given by the charge N centered moduli space of BPS monopoles in SU(2). The theory is compared to N = 2 supersymmetric Yang-Mills theory in four dimensions through compactification on a circle of the latter. It is found that rational maps are appropriate to this comparison. A BPS mass formula is also written for particles in three dimensions and strings in four dimensions.
منابع مشابه
Three-Dimensional Gauge Theories and ADE Monopoles
We study three-dimensional N = 4 gauge theories with product gauge groups constructed from ADE Dynkin diagrams. One-loop corrections to the metric on the Coulomb branch are shown to coincide with the metric on the moduli space of wellseperated ADE monopoles. We propose that this correspondence is exact. Introduction There exists a correspondence between three-dimensional gauge theories and mono...
متن کاملTopological Field Theories associated with Three Dimensional Seiberg-Witten Monopoles
Three dimensional topological field theories associated with the three dimensional version of Abelian and non-Abelian Seiberg-Witten monopoles are presented. These three dimensional monopole equations are obtained by a dimensional reduction of the four dimensional ones. The starting actions to be considered are Gaussian types with random auxiliary fields. As the local gauge symmetries with topo...
متن کاملInstantons, Three Dimensional Gauge Theories, and Monopole Moduli Spaces
We calculate instanton corrections to three dimensional gauge theories with N = 4 and N = 8 supersymmetry and SU(n) gauge groups. The N = 4 results give new information about the moduli space of n BPS SU(2) monopoles, including the leading order non-pairwise interaction terms. A few comments are made on the relationship of the N = 8 results to membrane scattering in matrix theory.
متن کاملar X iv : h ep - t h / 95 02 02 4 v 1 3 F eb 1 99 5 Nodes , Monopoles and Confinement in 2 + 1 - Dimensional Gauge Theories
In the presence of Chern-Simons interactions the wave functionals of physical states in 2 + 1-dimensional gauge theories vanish at a number of nodal points. We show that those nodes are located at some classical configurations which carry a non-trivial magnetic charge. In abelian gauge theories this fact explains why magnetic monopoles are suppressed by Chern-Simons interactions. In non-abelian...
متن کاملTopologically non-trivial configurations in 3-dimensional Yang-Mills theory
Monopoles are expected to play an important role in confining quarks in QCD. In lattice simulations, one usually looks for U(1) monopoles by fixing an Abelian gauge [1]. However it is important to have a gauge invariant way of detecting monopoles in non-Abelian gauge theories. In a recent paper [2] Anishetty, Majumdar and Sharatchandra have given a criterion for characterizing topologically non...
متن کامل