We investigate a simple-sum giant graviton expansion of the superconformal indices of 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 first few terms in the superconformal indices for arbitrary rank N.
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Imamura et al. (2024) studied this question.
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