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arXiv · 0909.0346

Bogomolny equations and conformal transformations in curved space

P. -M. Zhang·P. A. Horváthy
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Abstract

The coupling of the Higgs field through the Ricci tensor, put forward by Balakrishna and Wali, is derived using a conformal rescaling of the metric. Earlier results on "Bogomolny-type" equations in curved space, by Comtet, and others, are recovered. The procedure can be generalized to any static background metric.

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P. -M. Zhang, P. A. Horváthy. 2009-09-02. Bogomolny equations and conformal transformations in curved space. https://doi.org/10.1103/physrevd.80.127703

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