The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $σ$ Models

Details The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $σ$ Models The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $σ$ Models

1998-04-30

arxiv.org/abs/hep-th/9804204v2

Phys.Rev.D58:124020,1998

Physics

High Energy Physics

High Energy Physics - Theory

24 pages LaTex, 1 Figure, revised text for publication

Scientific paper

10.1103/PhysRevD.58.124020

We derive Bogomolny equations for an Einstein-Yang-Mills-dilaton-$\sigma$ model (EYMD-$\sigma$) on a static spacetime, showing that the Einstein equations are satisfied if and only if the associated (conformally scaled) three-metric is flat. These are precisely the static metrics for which super-covariantly constant spinors exist. We study some general properties of these equations and then consider the problem of obtaining axially symmetric solutions for the gauge group SU(2).

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