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

Abstract

We propose a prescription to calculate the superconformal index of the $\mathcal{N}=4$ $U(N)$ 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 ${\mathbf{S}}^5$, 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.

31 pages, 7 figures

References in corpus (1)

• Supersymmetric states of N=4 Yang-Mills from giant gravitons

Cited by in corpus (1)

• The Giant Graviton Expansion