Higgs Structures of Dyonic Instantons

Abstract

We study Higgs field configurations of dyonic instantons in spontaneously broken (4+1)-dimensional Yang-Mills theory. The adjoint scalar field solutions to the covariant Laplace equation in the ADHM instanton background are constructed in general noncanonical basis, and they are used to study explicitly the Higgs field configurations of dyonic instantons when the gauge fields are taken by Jackiw-Nohl-Rebbi instanton solutions. For these solutions corresponding to small instanton number we then consider in some detail the zero locus of the Higgs field, which describes the cross section of supertubes connecting parallel D4-branes in string theory. Also the information on the Higgs zeroes is used to discuss the residual gauge freedom concerning the Jackiw-Nohl-Rebbi solutions.

1+27 pages, 6 figures

References in corpus (12)

• Supertubes
• The Calculus of Many Instantons
• Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory
• Dyonic Instantons in Five Dimensional Gauge Theories
• Tachyons, Supertubes and Brane/Anti-Brane Systems
• The Instanton Hunter's Guide to Supersymmetric SU(N) Gauge Theories
• Aspects of supertubes
• Supertubes connecting D4 branes
• Geometry of the Nonabelian DBI Dyonic Instanton
• Dyonic Instanton as Supertube between D4 Branes
• Supertubes in Field Theories
• The Shape of Instantons : Cross-Section of Supertubes and Dyonic Instantons

Cited by in corpus (4)

• The Partonic Nature of Instantons
• Dynamics of Strings between Walls
• The low energy dynamics of charge two dyonic instantons
• Spectrum of a Supersymmetric Color Superconductor