On the construction of a hyper-Kähler metric on the moduli space of monopoles

N. Ercolani; A. Sinha

doi:10.1016/0375-9601(91)90844-X

On the construction of a hyper-Kähler metric on the moduli space of monopoles

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Abstract

This note describes the explicit construction of the 4(k-1)-dimensional moduli space of k-monopoles in center-of-mass coordinates. This space is known to have a natural hyper-Kähler structure. We show how the construction of this hyper-Kähler metric can be reduced to solving a gauge orthogonality condition.

Original language	English (US)
Pages (from-to)	81-89
Number of pages	9
Journal	Physics Letters A
Volume	153
Issue number	2-3
DOIs	https://doi.org/10.1016/0375-9601(91)90844-X
State	Published - Feb 25 1991

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0375-9601(91)90844-X

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title = "On the construction of a hyper-K{\"a}hler metric on the moduli space of monopoles",

abstract = "This note describes the explicit construction of the 4(k-1)-dimensional moduli space of k-monopoles in center-of-mass coordinates. This space is known to have a natural hyper-K{\"a}hler structure. We show how the construction of this hyper-K{\"a}hler metric can be reduced to solving a gauge orthogonality condition.",

author = "N. Ercolani and A. Sinha",

note = "Funding Information: Supported in part by the National Science Foundation, Grant Number DMS-900 1897 and the Arizona Center for Mathematical Sciences,sponsored by AFOSR Contract FQ8671-900589 with the University Research Initiative Program at the University ofArizona.",

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AU - Sinha, A.

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PY - 1991/2/25

Y1 - 1991/2/25

N2 - This note describes the explicit construction of the 4(k-1)-dimensional moduli space of k-monopoles in center-of-mass coordinates. This space is known to have a natural hyper-Kähler structure. We show how the construction of this hyper-Kähler metric can be reduced to solving a gauge orthogonality condition.

AB - This note describes the explicit construction of the 4(k-1)-dimensional moduli space of k-monopoles in center-of-mass coordinates. This space is known to have a natural hyper-Kähler structure. We show how the construction of this hyper-Kähler metric can be reduced to solving a gauge orthogonality condition.

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On the construction of a hyper-Kähler metric on the moduli space of monopoles

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