Higgs Structures of Dyonic Instantons

TL;DR

This paper investigates Higgs field configurations of dyonic instantons in a 5D Yang-Mills framework, explicitly constructing solutions and analyzing their zero loci to understand supertube structures in string theory.

Contribution

It provides explicit Higgs field solutions in the ADHM instanton background and analyzes their zero loci, revealing new insights into supertube configurations and gauge freedoms.

Findings

Explicit Higgs solutions in ADHM background

Zero locus analysis of Higgs fields

Connection to supertube structures in string theory

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.