Domain walls and distances in discrete landscapes

TL;DR

This paper investigates a novel notion of distance between vacua in discrete landscapes, incorporating scalar potentials and fluxes through domain wall transitions, with implications for supergravity, string theory, and the swampland conjecture.

Contribution

It introduces a new framework for measuring distances between vacua considering domain walls, extending the swampland distance conjecture and linking it to holography and RG flows.

Findings

Derived bounds on deviations from the swampland distance conjecture.

Provided estimates in supergravity settings.

Connected landscape distances to holographic RG flows.

Abstract

We explore a notion of distance between vacua of a discrete landscape that takes into account scalar potentials and fluxes via transitions mediated by domain walls. Such settings commonly arise in supergravity and string compactifications with stabilized moduli. We derive general bounds and simple estimates in supergravity which constrain deviations from the ordinary swampland distance conjecture based on moduli space geodesics, and we connect this picture to renormalization group flows via holography.