AdS/CFT Correspondence in Operator Formalism

TL;DR

This paper demonstrates the equivalence of low energy spectra between large N CFT and free gravity in AdS, constructing bulk fields and deriving the GKPW relation without prior assumptions.

Contribution

It provides a novel operator formalism approach to AdS/CFT, establishing spectrum equivalence and deriving the GKPW relation independently.

Findings

Low energy spectra of large N CFT and free gravity are identical.

Bulk local fields can be explicitly constructed from CFT operators.

The GKPW relation is derived without assuming it a priori.

Abstract

In this paper we study the AdS/CFT correspondence in the operator formalism without assuming the GKPW relation. We explicitly show that the low energy spectrum of the large N limit of CFT, which is realized by a strong coupling gauge theory, is identical to the spectrum of the free gravitational theory in the global AdS spacetime under some assumptions which are expected to be valid. Thus, two theories are equivalent for the low energy region under the assumptions. Using this equivalence, the bulk local field is constructed and the GKPW relation is derived.