Quintessential Transition of the Internal Manifold

TL;DR

This paper explores how the internal manifold in Kaluza-Klein theories can undergo symmetry-breaking transitions, potentially explaining gauge symmetry breaking and resembling quintessential inflation scenarios.

Contribution

It introduces a model where the internal manifold transitions from symmetric to less symmetric states based on group parameters, linking geometry to symmetry breaking.

Findings

Transition depends on group theoretical parameters

Possible explanation for gauge symmetry breaking

Resembles quintessential inflation scenario

Abstract

In this paper, I study the dynamics of the Kaluza-Klein internal manifold using its ``shape'' and the ``size'' as collective coordinates. The essential motivation is to be able to explain symmetry breaking in gauge theories through a transition of the internal manifold from a symmetrical metric space to a less symmetric one. We find that this may be possible depending on the values of certain group theoretical parameters. Further, this transition resembles a ``quintessential inflation'' scenario, the feasibility of which however, needs to be further studied in details.