2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204544In recent years there has been some progress in understanding how one might model the interactions of branes in M-theory despite not having a fundamental perturbative description. The goal of this review is to describe different approaches to M-theory branes and their interactions. This includes: a review of M-theory branes themselves and their properties; brane interactions; the self-dual string and its properties; the role of anomalies in learning about brane systems; the recent work of Basu and Harvey with subsequent developments; and how these complimentary approaches might fit together.Latex, 77 pages (only), invited review for Physics Reports. v2: corrected typos + references addedHigh Energy Physics - TheoryM-theory branes and their interactionstext