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arxiv: hep-th/0002019 · v2 · submitted 2000-02-02 · ✦ hep-th · gr-qc

Gravitating Instantons In 3 Dimensions

classification ✦ hep-th gr-qc
keywords actionspacetheoryequationsfinitegaugeinstantoninstantons
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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.

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