2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59107Let X be a smooth cubic threefold, M the moduli space of stable rank 2 vector bundles on X with trivial determinant and c_2=2 (the smallest value for which this space is non-empty). Recent results of Druel, Iliev, Markushevich and Tikhomirov lead to a precise description of M and its Maruyama compactification M': the latter is isomorphic to the intermediate Jacobian of X blown-up along the Fano surface. In this survey paper we explain these results and discuss some applications.19 pages, TeX with xy-picAlgebraic GeometryVector bundles on the cubic threefoldtext