Crystal Volumes and Monopole Dynamics

Sergey A. Cherkis; Rebekah Cross

Crystal Volumes and Monopole Dynamics

Mathematics

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

Abstract

The low velocity dynamic of a doubly periodic monopole, also called a monopole wall or monowall for short, is described by geodesic motion on its moduli space. This moduli space is hyperkähler and non-compact. We establish a relation between the Kähler potential of this moduli space and the volume of a region in Euclidean three-space cut out by a plane arrangement associated with each monowall.

Original language	English (US)
Journal	Unknown Journal
State	Published - Jun 11 2019

ASJC Scopus subject areas

General

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title = "Crystal Volumes and Monopole Dynamics",

abstract = "The low velocity dynamic of a doubly periodic monopole, also called a monopole wall or monowall for short, is described by geodesic motion on its moduli space. This moduli space is hyperk{\"a}hler and non-compact. We establish a relation between the K{\"a}hler potential of this moduli space and the volume of a region in Euclidean three-space cut out by a plane arrangement associated with each monowall.",

author = "Cherkis, {Sergey A.} and Rebekah Cross",

year = "2019",

month = jun,

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language = "English (US)",

journal = "Nuclear Physics A",

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AU - Cross, Rebekah

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AB - The low velocity dynamic of a doubly periodic monopole, also called a monopole wall or monowall for short, is described by geodesic motion on its moduli space. This moduli space is hyperkähler and non-compact. We establish a relation between the Kähler potential of this moduli space and the volume of a region in Euclidean three-space cut out by a plane arrangement associated with each monowall.

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