Electron neutrino mass scale in spectrum of Dirac equation with the 5-form flux term on the AdS(5)xS(5) background

TL;DR

This paper derives the electron neutrino mass scale from a 5D Dirac equation in an AdS(5)xS(5) background, considering boundary conditions and flux interactions, with implications for neutrino properties and dark matter.

Contribution

It provides a novel calculation of neutrino mass scale using spectrum analysis of Dirac equations in a warped extra-dimensional setting with flux interactions.

Findings

Two spectral towers of Dirac equation solutions identified.

Electron neutrino mass scale estimated from twisted spectrum.

Neutrino eigenfunction profiles suggest weak coupling to matter.

Abstract

Dimensional reduction from 10 to 5 dimensions of the IIB supergravity Dirac equation written down on the AdS(5)xS(5) (+ self-dual 5-form) background provides the unambiguous values of bulk masses of Fermions in the effective 5D Randall Sundrum theory. The use of "untwisted" and "twisted" (hep-th/0012378) boundary conditions at the UV and IR ends of the warped space-time results in two towers of spectrum of Dirac equation: the ordinary one which is linear in spectral number and the "twisted" one exponentially decreasing with growth of spectral number. Taking into account of the Fermion-5-form interaction (hep-th/9811106) gives the electron neutrino mass scale in the "twisted" spectrum of Dirac equation. Profiles in extra space of the eigenfunctions of left and right "neutrinos" drastically differ which may result in the extremely small coupling of light right neutrino with ordinary matter thus joining it to plethora of candidates for Dark Matter.