Bonus Symmetries of N=4 Super-Yang-Mills Correlation Functions via AdS Duality

TL;DR

This paper explores how N=4 super-Yang-Mills correlation functions exhibit modular properties derived from AdS/CFT duality, predicting bonus symmetries in the field theory aligned with string theory's enhanced symmetries.

Contribution

It demonstrates the origin of modular transformation properties from AdS duality and predicts bonus symmetries in N=4 super-Yang-Mills theory in certain limits.

Findings

Modular properties of correlation functions are consistent with AdS/CFT duality.

N=4 super-Yang-Mills exhibits bonus symmetries in specific limits.

Enhanced symmetries correspond to IIB string theory in supergravity limit.

Abstract

General conjectures about the SL(2,Z) modular transformation properties of N=4 super-Yang-Mills correlation functions are presented. It is shown how these modular transformation properties arise from the conjectured duality with IIB string theory on AdS_5 x S^5. We discuss in detail a prediction of the AdS duality: that N=4 field theory, in an appropriate limit, must exhibit bonus symmetries, corresponding to the enhanced symmetries of IIB string theory in its supergravity limit.