Finite N Index and Angular Momentum Bound from Gravity

Abstract

We exactly compute the finite N index and BPS partition functions for N=4 SYM theory in a newly proposed maximal angular momentum limit. The new limit is not predicted from the superconformal algebra, but naturally arises from the supergravity dual. We show that the index does not receive any finite N corrections while the free BPS partition function does.

14 pages, v2: minor revisions, published version

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• Counting BPS operators in N=4 SYM
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• Superconformal indices of $\mathcal{N}=4$ SYM field theories
• Baryonic Generating Functions
• 4D and 2D superconformal index with surface operator
• BPS Partition Functions for Quiver Gauge Theories: Counting Fermionic Operators
• Master Space and Hilbert Series for N=1 Field Theories
• Supersymmetric Grey Galaxies, Dual Dressed Black Holes and the Superconformal Index
• Holographic spectral functions for Sasaki-Einstein 5-manifolds