On the D(–1)/D7-brane systems

We study non-perturbative effects in supersymmetric U(N) gauge theories eight dimensions realized by means of D(-1)/D7-brane systems with non-trivial world-volume fluxes turned on. Using an explicit string construction terms vertex operators, we derive the action for open strings ending on D(-1)-branes and exhibit its BRST structure. The space vacua these is shown to be correspondence moduli generalized ADHM connections which trigger corrections eight-dimensional theory. These are computed via localization turn out depend curved background used localize integrals instanton space, vanish flat space. Finally, show that specific choices partition functions reduce weighted sums solid partitions integers.