Title:

Merging Swampland Conjectures using strings and membranes

Abstract:

In this talk I will discuss new relations that appear among the Swampland Conjectures when analysing the properties of low codimension BPS objects, in particular strings and membranes in N=1 4D EFTs. I will review the state of the art of the Swamplandprogram and revisit the most important conjectures, namely the Weak Gravity Conjecture (WGC) and the Swampland Distance Conjecture (SDC). Then I will describe how to apply the WGC to low codimension BPS objects by interpreting the 4d backreaction of these objectsas a classical RG flow of their couplings. Constraints on the UV charges and tensions get then translated to constraints on the axionic kinetic terms and scalar potential of the EFT, which uncovers new relations among the Swampland Conjectures. In particular,we show that the WGC for strings implies the SDC, by using that infinite distance limits can be realised as RG flow endpoints of fundamental axionic strings. Similarly, WGC-saturating membranes generate a scalar potential satisfying the de Sitter Conjecture.