2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/211298The $osp(2n|2n)$ current algebra for a {\it generic} positive integer $n$ at general level $k$ is investigated. Its free field representation and corresponding energy-momentum tensor are constructed. The associated screening currents of the first kind are also presented.Latex file; 21 pages; V2, typos corrected, the new version appears in Phys. Rev. DHigh Energy Physics - TheoryMathematical PhysicsFree field realization of the $osp(2n|2n)$ current algebratext