Superlocalization formulas and supersymmetric Yang–Mills theories Original Research Article

By using supermanifold techniques we prove a generalization of the localization formula in equivariant cohomology which is suitable for studying supersymmetric Yang–Mills theories in terms of ADHM data. With these techniques one can compute the reduced partition functions of topological super-Yang–Mills theory with 4, 8 or 16 supercharges. More generally, the superlocalization formula can be applied to any topological field theory in any number of dimensions.