Gravitating Instantons In 3 Dimensions
Andrew Ferstl, Bayram Tekin, Victor Weir
TL;DR
This paper explores finite-action instanton solutions in three-dimensional Einstein-Chern-Simons gravity coupled with Yang-Mills-Higgs theory, including BPS solutions in curved space and instantons in AdS space.
Contribution
It presents new finite-action instanton solutions in 3D gravity coupled to gauge fields, extending understanding of gravitational and gauge instantons in curved backgrounds.
Findings
Existence of BPS monopole solutions in curved space.
Finite action gravitational instantons with gauge fields.
Singular exact solutions in the studied model.
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.
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