Kaluza-Klein monopole with scalar multiplet hair
Abstract
We construct Kaluza-Klein monopole solutions with scalar hair provied by a massive complex scalar field multiplet that minimally couples to five-dimensional Einstein gravity. Writing the scalar field multiplet in terms of the Wigner D-matrices, we introduce the ansatz of the scalar multiplet compatible with the symmetries of the Gross-Perry-Sorkin monopole, on which the scalar hair grows. We give the ansatz for a multiplet with arbitrary number of components, whereas we show numerical solutions of the hairy Kaluza-Klein monopole specifically for the cases of scalar triplet and quadruplet. These generaize the preceding study on a doublet \cite{Brihaye:2023vox}. We find that the range of the mass and angular momentum of the hairy solutions are larger for higher multiplets.
Keywords
Cite
@article{arxiv.2507.23378,
title = {Kaluza-Klein monopole with scalar multiplet hair},
author = {Takaaki Ishii and Keiju Murata and Keita Sugawara},
journal= {arXiv preprint arXiv:2507.23378},
year = {2025}
}
Comments
19 pages, 5 figures