From Gauss Graphs to Giants

TL;DR

This paper identifies specific operators in ${ m N}=4$ super Yang-Mills theory that correspond to ${1ackslash 8}$-BPS giant gravitons in AdS$_5\times$S$^5$, using counting arguments and correlation function comparisons.

Contribution

It provides a detailed mapping between super Yang-Mills operators and giant graviton states, confirming the correspondence through counting and correlation analysis.

Findings

Counting of operators matches giant graviton state counts

Correlation functions align with giant graviton wave function overlaps

Establishes a concrete operator-giant graviton correspondence

Abstract

We identify the operators in ${\cal N}=4$ super Yang-Mills theory that correspond to ${1\over 8}$-BPS giant gravitons in AdS$_5\times$S$^5$. Our evidence for the identification comes from (1) counting these operators and showing agreement with independent counts of the number of giant graviton states, and (2) by demonstrating a correspondence between correlation functions of the super Yang-Mills operators and overlaps of the giant graviton wave functions.