A new holographic limit of AdS5 x S5

TL;DR

This paper explores a new holographic limit of AdS5 x S5, revealing a complex holography for S5 and introducing N=4 projective superspace that can describe N=4 super Yang-Mills off shell.

Contribution

It introduces a novel holographic limit leading to N=4 projective superspace capable of off-shell N=4 super Yang-Mills description.

Findings

Revealed a complex holography for S5 in AdS5 x S5.

Established N=4 projective superspace as a new framework.

Enabled off-shell N=4 super Yang-Mills in this context.

Abstract

We re-examine the projective lightcone limit of the gauge-invariant Green-Schwarz action on 5D anti-de Sitter x the five-sphere. It implies the usual holography for AdS5, but also (a complex) one for S5. The result is N=4 projective superspace, which unlike N=4 harmonic superspace can describe N=4 super Yang-Mills off shell.