Higgs structures of dyonic instantons

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Published 29 April 2008 Published under licence by IOP Publishing Ltd
, , Citation Min-Young Choi et al JHEP04(2008)097 DOI 10.1088/1126-6708/2008/04/097

1126-6708/2008/04/097

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.

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10.1088/1126-6708/2008/04/097