Asymptotic Flux Compactifications and the Tameness of the Landscape

Abstract: It has only recently become possible to systematically study flux compactifications in asymptotic regions of the field space without the necessity to construct specific geometric examples. I will explain some key insights about the structure of the complex structure moduli space, its boundaries and asymptotic regions, that opened the door for this general approach. I will then argue that a long conjectured and very non-trivial finiteness result about flux vacua has now been proved. Motivated by these successes, I will suggest that requiring finiteness properties on the coupling functions of any effective theory could be key to generally uncover the structure of the string theory landscape. I will briefly introduce a concrete framework, dealing with o-minimal structures and tame topology, that automatically implements finiteness properties.

HEP - theory

Audience: researchers in the topic

Comments: Zoom code: 1234

Rencontres Théoriciennes

Series comments: Description: Bi-weekly meeting of string theorists in greater Paris