  Based on the construction by Hosomichi, Seong and Terashima we consider N=1
supersymmetric 5D Yang-Mills theory with matter on a five-sphere with radius r.
This theory can be thought of as a deformation of the theory in flat space with
deformation parameter r and this deformation preserves 8 supercharges. We
calculate the full perturbative partition function as a function of r/g^2,
where g is the Yang-Mills coupling, and the answer is given in terms of a
matrix model. We perform the calculation using localization techniques. We also
argue that in the large N-limit of this deformed 5D Yang-Mills theory this
matrix model provides the leading contribution to the partition function and
the rest is exponentially suppressed.
