Gravitating Instantons In 3 Dimensions

Abstract

We study the Einstein-Chern-Simons gravity coupled to Yang-Mills-Higgs theory in three dimensional Euclidean space with cosmological constant. The classical equations reduce to Bogomol'nyi type first order equations in curved space. There are BPS type gauge theory instanton (monopole) solutions of finite action in a gravitational instanton which itself has a finite action. We also discuss gauge theory instantons in the vacuum (zero action) AdS space. In addition we point out to some exact solutions which are singular.

17 pages, 4 figures, title has changed, gravitational instanton actions are added

References in corpus (4)

• Charged Rotating Black Hole in Three Spacetime Dimensions
• Stable monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter Space
• Monopole and Dyon Solutions in AdS space
• General analysis of self-dual solutions for the Einstein-Maxwell-Chern-Simons theory in (1+2) dimensions

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• Yang-Mills Solutions on Euclidean Schwarzschild Space
• Self-dual solutions of Yang-Mills theory on Euclidean AdS space
• Some Lower Dimensional Quantum Field Theories Reduced from Chern-Simons Gauge Theories