Mass generation from a non-perturbative correction: Massive NS-field and graviton in $(3+1)$-dimensions

Abstract

We show that the massless form fields, in (4+1)-dimensional non-perturbation theory of emergent gravity, become massive in a perturbative phase without Higgs mechanism. In particular an axionic scalar sourced by a non-perturbative dynamical correction is absorbed by the form fields to describe a massive NS field theory on an emergent gravitational pair of (3 3)-brane. Arguably the novel idea of Higgs mechanism is naturally invoked in an emergent gravity underlying a CFT6. Analysis reveals "gravito-weak" and "electro-weak" phases respectively on a vacuum pair in (4 + 1) and (3 + 1)-dimensions. It is argued that the massive NS field quanta may govern an emergent graviton on a gravitational 3-brane.