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arXiv · 2108.12090

Finite-$N$ superconformal index via the AdS/CFT correspondence

Yosuke Imamura
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Abstract

We propose a prescription to calculate the superconformal index of the ${\cal N}=4$ $U(N)$ supersymmetric Yang-Mills theory with finite $N$ on the AdS side. The finite $N$ corrections are included as contributions of D3-branes wrapped around three-cycles in $\boldsymbol{S}^5$, 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.

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Yosuke Imamura. 2021-08-27. Finite-$N$ superconformal index via the AdS/CFT correspondence. https://arxiv.org/abs/2108.12090

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