Dynamical Cobordism and Swampland Distance Conjectures

A bstract We consider spacetime-dependent solutions to string theory models with tadpoles for dynamical fields, arising from non-trivial scalar potentials. The have necessarily finite extent in spacetime, and are capped off by boundaries at a distance, realization of the Cobordism Conjecture. show that as configuration approaches these cobordism walls nothing, fields run infinite distance moduli space, allowing explore implications Swampland Distance uncover new interesting scaling relations linking space SDC tower scale spacetime geometric quantities, such wall curvature. which scalars remain correspond domain separating different (but cobordant) theories/vacua; this still applies even if reach singularities conifold points. illustrate our ideas explicit examples massive IIA theory, M-theory on CY threefolds, 10d non-supersymmetric strings. In 4d $$ \mathcal{N} N = 1 theories, framework reproduces recent proposal using string-like solutions.