2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54569A free superstring with chiral N=2 supersymmetry in six dimensions is proposed. It couples to a two-form gauge field with a self-dual field strength. Compactification to four dimensions on a two-torus gives a strongly coupled N=4 four-dimensional gauge theory with SL(2, Z) duality and an infinite tower of dyons. Various authors have suggested that this string theory should be also the world-volume theory of M theory five-branes. Accepting this proposal, we find a puzzling factor of two in the application to black-hole entropy computations.6 pages, latex, no figuresHigh Energy Physics - TheorySelf-Dual Superstring in Six Dimensionstext