Dynamical solutions of warped six dimensional supergravity

TL;DR

This paper derives new exact time-dependent solutions in warped six-dimensional supergravity, revealing that all extra dimensions evolve over time, leading to decompactification or collapse, and impacting deficit angle quantization.

Contribution

It introduces a novel class of exact solutions in 6D supergravity with time dependence, highlighting the evolution of all dimensions and effects on deficit angle quantization.

Findings

All six dimensions evolve in time under the assumed conditions.

Solutions lead to decompactification or collapse of extra dimensions.

Dynamics influence the quantization of the deficit angle.

Abstract

We derive a new class of exact time dependent solutions in a warped six dimensional supergravity model. Under the assumptions we make for the form of the underlying moduli fields, we show that the only consistent time dependent solutions lead to all six dimensions evolving in time, implying the eventual decompactification or collapse of the extra dimensions. We also show how the dynamics affects the quantization of the deficit angle.