Journal ArticleA Distance Conjecture for branesEtheredge, Muldrow (ORCID:0000000151446238); Heidenreich, Ben (ORCID:0000000305369985); Rudelius, Tom (ORCID:0000000289122789)We use branes to generalize the Distance Conjecture. We conjecture that in any infinite-distance limit in the moduli space of a d-dimensional quantum gravity theory, among the set of particle towers and fundamental branes with at most pmax spacetime dimensions (where pmax is an integer between 1 and d-2), at least one has mass/tension decreasing exponentially T ~ exp(–α ∆) with the moduli space distance ∆ at a rate of at least α ≥ 1/sqrt(d-pmax-1). Since pmax can vary, this represents multiple conditions, where the Sharpened Distance Conjecture is the pmax = 1 case. This conjecture is a necessary condition imposed on higher-dimensional theories in order for the Sharpened Distance Conjecture to hold in lower-dimensional theories. We test our conjecture in theories with maximal and half-maximal supersymmetry in diverse dimensions, finding that it is satisfied and often saturated. In some cases where it is saturated — most notably, heterotic string theory in 10 dimensions — we argue that novel, low-tension non-supersymmetric branes must exist. We also identify patterns relating the rates at which various brane tensions vary in infinite-distance limits and relate these tensions to the species scale.Springer2025-09-1810646705Journal of High Energy Physics202591029-8479https://doi.org/10.1007/JHEP09(2025)1552112800; 2412570National Science Foundation