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

N. Ercolani
, A. Sinha

Research output: Contribution to journal › Article › peer-review

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

Access to Document

10.1016/0375-9601(91)90844-X

Cite this

@article{4252a12a517041c7967402861c45e580,

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.",

year = "1991",

month = feb,

day = "25",

doi = "10.1016/0375-9601(91)90844-X",

language = "English (US)",

volume = "153",

pages = "81--89",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "2-3",

}

TY - JOUR

T1 - On the construction of a hyper-Kähler metric on the moduli space of monopoles

AU - Ercolani, N.

AU - Sinha, A.

N1 - 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.

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.

UR - https://www.scopus.com/pages/publications/44949282097

UR - https://www.scopus.com/pages/publications/44949282097#tab=citedBy

U2 - 10.1016/0375-9601(91)90844-X

DO - 10.1016/0375-9601(91)90844-X

M3 - Article

AN - SCOPUS:44949282097

SN - 0375-9601

VL - 153

SP - 81

EP - 89

JO - Physics Letters A

JF - Physics Letters A

IS - 2-3

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this