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The Moduli Space Metric for Well Separated BPS Monoples
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abstract
The Lagrangian for the motion of $n$ well-separated BPS monopoles is calculated, by treating the monopoles as point particles with magnetic, electric and scalar charges. It can be reinterpreted as the Lagrangian for geodesic motion on the asymptotic region of the $n$-monopole moduli space, thereby determining the asymptotic metric on the moduli space. The metric is hyperk\"ahler, and is an explicit example of a type of metric considered previously.
Forward citations
Cited by 2 Pith papers
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Fractional vorticity, Bogomol'nyi-Prasad-Sommerfield systems and complex structures for the (generalized) spinor Gross-Pitaevskii equations
First-order BPS systems and explicit fractional-vorticity solutions are derived for generalized 2D Gross-Pitaevskii equations with fifth- and sixth-order self-interactions.
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Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.
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