Higgs mechanism from fluxes and two mass hierarchies in the "fat" throat solution of Type IIA supegravity

TL;DR

This paper explores how magnetic flux in a Type IIA supergravity background induces Higgs-like masses for Kaluza-Klein gauge fields, revealing two distinct mass hierarchies and analyzing gauge couplings within a holographic framework.

Contribution

It introduces a flux-Higgs mechanism in a supergravity setup that explains two mass hierarchies and connects classical KK theory with holography, proposing the idea of Bootstrap Holography.

Findings

Magnetic flux generates electroweak scale masses for KK gauge fields.

A second, much smaller mass scale (~0.001 eV) emerges from throat deformation.

Calculated gauge couplings are realistic for electroweak modes and tiny for long-range fields.

Abstract

Spectra of Kaluza-Klein gauge fields are calculated at the background of the magnetic fluxbrane throat-like solution of the Type IIA supergravity equations. Magnetic flux plays the role of Higgs scalar generating the electroweak scale mass of non-abelian KK gauge field. The same "flux-Higgs" mechanism gives the scale of the "second mass hierarchy", 0.001 eV, in the spectrum of KK excitations at the background of the throat deformed in a Reissner-Nordstrom way. Gauge coupling constants in 4 dimensions are calculated; they prove to be of the physically sensible values for the EW scale massive modes of the gauge fields and are extremely small for the long range gauge fields. 5D effective Action with the flux-generated mass terms of the KK gauge fields associated with isometries of compactified subspaces is put down, correspondence of the "classical" KK approach and dual holography approach to the low-dimensional gauge theories is discussed, and idea of Bootstrap Holography is set forth.