1/16 BPS States in N=4 SYM

TL;DR

This paper counts 1/16 BPS operators in N=4 SYM at weak coupling, showing they match free multi-graviton states in AdS5xS5 and proposing a conjecture about their form.

Contribution

It provides a complete enumeration of 1/16 BPS operators at large N and conjectures their multi-graviton structure, linking gauge theory and gravity duals.

Findings

Counting matches free multi-graviton states in AdS5xS5

Conjecture that all 1/16 BPS operators are multi-graviton

Discussion of entropy mismatch in large BPS black holes

Abstract

We investigate the problem of counting 1/16 BPS operators in N=4 Super-Yang-Mills theory at weak coupling. We present the complete set of 1/16 BPS operators in the infinite N limit, which agrees with the counting of free BPS multi-graviton states in the gravity dual AdS5xS5. Further, we conjecture that all 1/16 BPS operators in N=4 SYM are of the multi-graviton form, and give numerical evidences for this conjecture. We discuss the implication of our conjecture and the seeming failure in reproducing the entropy of large 1/16 BPS black holes in AdS5.