Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory
This paper refines the postulate that charge quantization is governed by a homotopy type , demonstrating that while its homotopy groups classify brane charges, its homology groups classify invertible higher-form symmetries, and ultimately shows that the requirement for to be contractible in quantum gravity imposes Swampland-like constraints, such as ruling out noncompact gauge groups.