K. Sousa | Searcharxiv

arXiv2023

Tunneling Potentials to Nothing

The catastrophic decay of a spacetime with compact dimensions, via bubbles of nothing (BoNs), is probably a generic phenomenon. BoNs admit a 4-dimensional description as singular Coleman-de Luccia bounces of the size modulus field, stabilized by some potential $V(\phi)$. We apply the tunneling potential approach to this 4d description to provide a very simple picture of BoNs. Using it we identify four different types of BoN, corresponding to different classes of higher dimensional theories. We study the quenching of BoN decays and their interplay with standard vacuum decays.

hep-th↗

arXiv2023

Bubbles of Nothing: The Tunneling Potential Approach

Bubbles of nothing (BoNs) describe the decay of spacetimes with compact dimensions and are thus of fundamental importance for many higher dimensional theories proposed beyond the Standard Model. BoNs admit a 4-dimensional description in terms of a singular Coleman-de Luccia (CdL) instanton involving the size modulus field, stabilized by some potential $V(\phi)$. Using the so-called tunneling potential ($V_t$) approach, we study which types of BoNs are possible and for which potentials $V(\phi)$ can they be present. We identify four different types of BoN, characterized by different asymptotic behaviours at the BoN core and corresponding to different classes of higher dimensional theories, which we also classify. Combining numerous analytical and numerical examples, we study the interplay of BoN decays with other standard decay channels, identify the possible types of quenching of BoN decays and show how BoNs for flux compactifications can also be described in 4 dimensions by a multifield $V_t$. The use of the $V_t$ approach greatly aids our analyses and offers a very simple picture of BoNs which are treated in the same language as any other standard vacuum decays.

hep-th↗