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Abstract We propose a prescription to calculate the superconformal index of the N=4U (N) supersymmetric Yang–Mills theory with finite N on the anti-de Sitter side. The finite-N corrections are included as contributions of D3-branes wrapped around three-cycles in S⁵, which are calculated as the index of the gauge theories realized on the wrapped branes. The single-wrapping contribution has been studied in a previous work, and we further confirm that the inclusion of multiple-wrapping contributions correctly reproduces the higher-order terms as far as we have checked numerically.
Yosuke Imamura (Fri,) studied this question.