Inductive Calculation of Superconformal Indices Based on Giant Graviton Expansion

Abstract We investigate a simple-sum giant graviton expansion of the superconformal indices of ${\cal N}=2$ superconformal field theories realized on D3-branes probing 7-brane backgrounds with constant axio-dilation field. The expansion is of self-dual type, and imposes strong constraints on the indices. By using the constraints we determine the first few terms in the superconformal indices for arbitrary rank $N$.