Gauge-Higgs unification in spontaneously created fuzzy extra dimensions

Kazuyuki Furuuchi, Takeo Inami, Kazumi Okuyama

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We propose gauge-Higgs unification in fuzzy extra dimensions as a possible solution to the Higgs naturalness problem. In our approach, the fuzzy extra dimensions are created spontaneously as a vacuum solution of certain four-dimensional gauge theory. As an example, we construct a model which has a fuzzy torus as its vacuum. The Higgs field in our model is associated with the Wilson loop wrapped on the fuzzy torus. We show that the quadratic divergence in the mass of the Higgs field in the one-loop effective potential is absent. We then argue based on symmetries that the quantum corrections to the Higgs mass is suppressed including all loop contributions. We also consider a realization on the worldvolume theory of D3-branes probing ℂ3/(ℤ N ×ℤN) orbifold with discrete torsion.

Original languageEnglish
Article number006
JournalJournal of High Energy Physics
Volume2011
Issue number11
DOIs
Publication statusPublished - 2011

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vacuum
torsion
gauge theory
divergence
symmetry

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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abstract = "We propose gauge-Higgs unification in fuzzy extra dimensions as a possible solution to the Higgs naturalness problem. In our approach, the fuzzy extra dimensions are created spontaneously as a vacuum solution of certain four-dimensional gauge theory. As an example, we construct a model which has a fuzzy torus as its vacuum. The Higgs field in our model is associated with the Wilson loop wrapped on the fuzzy torus. We show that the quadratic divergence in the mass of the Higgs field in the one-loop effective potential is absent. We then argue based on symmetries that the quantum corrections to the Higgs mass is suppressed including all loop contributions. We also consider a realization on the worldvolume theory of D3-branes probing ℂ3/(ℤ N ×ℤN) orbifold with discrete torsion.",
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Gauge-Higgs unification in spontaneously created fuzzy extra dimensions. / Furuuchi, Kazuyuki; Inami, Takeo; Okuyama, Kazumi.

In: Journal of High Energy Physics, Vol. 2011, No. 11, 006, 2011.

Research output: Contribution to journalArticle

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