Higgs Structures of Dyonic Instantons

Details Higgs Structures of Dyonic Instantons Higgs Structures of Dyonic Instantons

2007-12-05

arxiv.org/abs/0712.0735v1

JHEP0804:097,2008

Physics

High Energy Physics

High Energy Physics - Theory

1+27 pages, 6 figures

Scientific paper

10.1088/1126-6708/2008/04/097

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.

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