Programme
10h30-11h : Bienvenue
11h-12h : Miguel Montero (IFT, Universidad Autónoma de Madrid, Spain)
No Global Symmetries and String Universality
Résumé : The Swampland Program aims to uncover general principles that govern the consistent coupling of low-energy EFT's to gravity. These constraints can be significanlty strengthened when combined with supersymmetry. I will review recent progress in this question, focused on the "no global symmetries" Swampland conjecture, reviewing some of its implications and describing recent work on its extension to non-invertible symmetries and applications to exotic supergravities in 6 dimensions.
14h00-15h00 : Thomas Mertens (University of Ghent, Belgium)
Lower-Dimensional Gravity, DSSYK and Group Theory
Résumé : In this talk, I will report on recent process in understanding lower-dimensional gravitational models structurally from group theory. The main strength of this approach seems to be its universality in describing different models. In particular, I will discuss how it can be used to argue for a bulk holographic dual of double-scaled SYK (DSSYK) in terms of sine dilaton gravity.
15h00-15h30 : Pause
15h30-16h30 : Emilio Trevisani (CNRS & Sorbonne Université)
The Parisi-Sourlas Uplift and Infinitely Many Solvable 4d CFTs
Résumé : Parisi-Sourlas (PS) supersymmetry is known to emerge in some models with random field type of disorder. When PS SUSY is present the d-dimensional theory allows for a d−2-dimensional description. In this paper we investigate the reversed question and we provide new indications that any given CFT_{d−2} can be uplifted to a PS SUSY CFT_d. We show that any scalar four-point function of a CFT_{d−2} is mapped to a set of 43 four-point functions of the uplifted CFTd which are related to each other by SUSY and satisfy all necessary bootstrap axioms. As a byproduct we find 43 non trivial relations between conformal blocks across dimensions.
We test the uplift in generalized free field theory (GFF) and find that PS SUSY is a powerful tool to bootstrap an infinite class of previously unknown GFF observables. Some of this power is shown to persist in perturbation theory around GFF.
We explain why all diagonal minimal models admit an uplift and we show exact results for correlators and CFT data of the 4d uplift of the Ising model. Despite being strongly coupled 4d CFTs, the uplifted minimal models contain infinitely many conserved currents and are expected to be integrable.
