2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184343We consider supermembranes ending on M5-branes, with the aim of deriving the appropriate matrix theories describing different situations. Special attention is given to the case of non-vanishing (selfdual) C-field. We identify the relevant deformation of the six-dimensional super-Yang-Mills theory whose dimensional reduction is the matrix theory for membranes in the presence of M5-branes. Possible applications and limitations of the models are discussed.10 pp., plain tex. Contribution to the proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'03, Dubna, Russia, July 24-29, 2003) and of the 9th Adriatic Meeting "Particle Physics and the Universe" (Dubrovnik, Croatia, September 4-14, 2003)High Energy Physics - TheoryM5-branes and Matrix Theorytext