AdS/CFT Correspondence in Operator Formalism

Understand

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.