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

Cited by in corpus (3)

• Calculating the Superconformal Index and Seiberg Duality
• Counting BPS operators in N=4 SYM
• BPS Partition Functions for Quiver Gauge Theories: Counting Fermionic Operators