Spontaneous Hopf fibration in the two-Higgs-doublet model

Fuente: arXiv
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Autores principales: Battye, R. A., Cotterill, S. J.
Formato: Preprint
Publicado: 2024
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author Battye, R. A.
Cotterill, S. J.
author_facet Battye, R. A.
Cotterill, S. J.
contents We show that energetic considerations enforce a Hopf fibration of the Standard Model topology within the 2HDM whose potential has either an $SO(3)$ or $U(1)$ Higgs-family symmetry. This can lead to monopole and vortex solutions. We find these solutions, characterise their basic properties and demonstrate the nature of the fibration along with the connection to Nambu's monopole solution. We point out that breaking of the $U(1)_{\rm EM}$ in the core of the defect can be a feature which leads to a non-zero photon mass there.
format Preprint
id arxiv_https___arxiv_org_abs_2401_06567
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spontaneous Hopf fibration in the two-Higgs-doublet model
Battye, R. A.
Cotterill, S. J.
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
We show that energetic considerations enforce a Hopf fibration of the Standard Model topology within the 2HDM whose potential has either an $SO(3)$ or $U(1)$ Higgs-family symmetry. This can lead to monopole and vortex solutions. We find these solutions, characterise their basic properties and demonstrate the nature of the fibration along with the connection to Nambu's monopole solution. We point out that breaking of the $U(1)_{\rm EM}$ in the core of the defect can be a feature which leads to a non-zero photon mass there.
title Spontaneous Hopf fibration in the two-Higgs-doublet model
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2401.06567