Swampland Bounds on Magnetized Extra Dimensions

TL;DR

This paper explores how Swampland Conjectures impose constraints on a six-dimensional gauge theory compactified on two-dimensional manifolds, linking flux, scale, and string parameters.

Contribution

It derives novel bounds on flux, compactification, and string scales using the Weak Gravity and Trans-Planckian Censorship Conjectures.

Findings

Constraints relate flux quantization to compactification scale

Bounds connect string scale with gauge theory parameters

Swampland criteria restrict parameter space of extra-dimensional models

Abstract

We consider a six-dimensional $U(1)$ gauge theory compactified on two-dimensional manifolds. The number of chiral fermions is determined by the flux quantization number on the two-dimensional compact manifolds. Using the Swampland Conjectures, we find constraints among the parameters of the theory: the flux quantization number, the compactification scale, and the string scale. Specifically, the Weak Gravity Conjecture and the Trans-Planckian Censorship Conjecture give non-trivial bounds.