Determination of anti-de Sitter monopole wall via minimization

Lei Cao, Yisong Yang

Research output: Contribution to journalArticle

Abstract

In this note, we solve a minimization problem arising in a recent work of Bolognesi and Tong on the determination of an anti-de Sitter monopole wall. We show that the problem has a unique solution. Although the solution cannot be obtained explicitly, we show that it may practically be constructed via a shooting method for which the correct shooting slope is unique. We also obtain some energy estimates which allow an asymptotic explicit determination of the monopole wall in a large coupling parameter limit.

Original languageEnglish (US)
Article number073509
JournalJournal of Mathematical Physics
Volume60
Issue number7
DOIs
StatePublished - Jul 1 2019

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Monopole
monopoles
optimization
Shooting Method
Shooting
Energy Estimates
Unique Solution
Minimization Problem
Slope
slopes
estimates
energy

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Determination of anti-de Sitter monopole wall via minimization. / Cao, Lei; Yang, Yisong.

In: Journal of Mathematical Physics, Vol. 60, No. 7, 073509, 01.07.2019.

Research output: Contribution to journalArticle

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