2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/200586We propose a lattice formulation of three dimensional super Yang-Mills model with a twisted N=4 supersymmetry. The extended supersymmetry algebra of all the eight supercharges is fully and exactly realized on the lattice with a modified "Leibniz rule". The formulation we employ here is a three dimensional extension of manifestly gauge covariant method which was developed in our previous proposal of Dirac-Kaehler twisted N=2 super Yang-Mills on two dimensional lattice. The twisted N=4 supersymmetry algebra is geometrically realized on a three dimensional lattice with link supercharges and the use of "shifted" (anti-)commutators. A possible solution to the recent critiques on the link formulation will be discussed.17 pages, 11 figures; v2 a reference added; v3 appendix addedHigh Energy Physics - LatticeHigh Energy Physics - Theorytext