Dyons in N=4 Supersymmetric Theories and Three-Pronged Strings
Abstract
We construct and explore BPS states that preserve 1/4 of supersymmetry in N=4 Yang-Mills theories. Such states are also realized as three-pronged strings ending on D3-branes. We correct the electric part of the BPS equation and relate its solutions to the unbroken abelian gauge group generators. Generic 1/4-BPS solitons are not spherically symmetric, but consist of two or more dyonic components held apart by a delicate balance between static electromagnetic force and scalar Higgs force. The instability previously found in three-pronged string configurations is due to excessive repulsion by one of these static forces. We also present an alternate construction of these 1/4-BPS states from quantum excitations around a magnetic monopole, and build up the supermultiplet for arbitrary (quantized) electric charge. The degeneracy and the highest spin of the supermultiplet increase linearly with a relative electric charge. We conclude with comments.
Keywords
Cite
@article{arxiv.hep-th/9804174,
title = {Dyons in N=4 Supersymmetric Theories and Three-Pronged Strings},
author = {Kimyeong Lee and Piljin Yi},
journal= {arXiv preprint arXiv:hep-th/9804174},
year = {2016}
}
Comments
33 pages, two figures, LaTex, a footnote added, the figure caption of Fig.2 expanded, one more reference