2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214447We construct a four dimensional Yang-Mills theory with ${\cal N}=4$ twisted supersymmetry whose classical vacua correspond to four dimensional anti-de Sitter space. The theory utilizes a complex gauge field whose real part is a spin connection which is used to enforce local Lorentz invariance. The imaginary part of the connection can then be interpreted as a vierbein. The topological construction ensures that the partition function and classical vacua are independent of the background geometry. Additionally a supersymmetric and gauge invariant lattice construction is possible yielding a non-perturbative definition of the theory.14 pages. References added. Typos correctedHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyHigh Energy Physics - Latticetext