All exact solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation

Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai

Research output: Contribution to journalArticle

142 Citations (Scopus)

Abstract

We study a 1/4 Bogomol'nyi-Prasad-Sommerfield equation containing configurations made of walls, vortices, and monopoles in the Higgs phase, using the supersymmetric U(N<inf>C</inf>) gauge theories with eight supercharges with NF fundamental hypermultiplets. We find the total moduli space to be the quotient of the space of holomorphic maps from the complex plane to the N <inf>C</inf> x N<inf>F</inf> matrix divided by the space of the holomorphic maps to GL(N<inf>C</inf> C). We obtain all possible solutions exactly in the strong coupling limit where the moduli space reduces to the space of all holomorphic maps from a complex plane to the wall moduli space found recently, the deformed complex Grassmann manifold. Monopoles in the Higgs phase are also found in U(1) gauge theory.

Original languageEnglish
Article number065018
Pages (from-to)1-6
Number of pages6
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume71
Issue number6
DOIs
Publication statusPublished - 2005 Mar 15
Externally publishedYes

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Holomorphic Maps
Moduli Space
Exact Solution
Monopole
Higgs
Gauge Theory
Argand diagram
Grassmann Manifold
Complex Manifolds
Strong Coupling
monopoles
gauge theory
Vortex
Quotient
Configuration
quotients
vortices
matrices
configurations

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

All exact solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation. / Isozumi, Youichi; Nitta, Muneto; Ohashi, Keisuke; Sakai, Norisuke.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 71, No. 6, 065018, 15.03.2005, p. 1-6.

Research output: Contribution to journalArticle

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