Two-Boundaries AdS/CFT Correspondence in Dilatonic Gravity

TL;DR

This paper explores a dilatonic gravity model within the AdS/CFT framework, revealing a dual-boundary structure where different conformal field theories emerge at the infinite and short-distance boundaries.

Contribution

It introduces a two-boundaries perspective in dilatonic gravity, showing how different CFTs are associated with each boundary and analyzing their correlation functions and conformal dimensions.

Findings

Two distinct conformal dimensions at different boundaries.

Existence of a new CFT at short distances.

AdS/CFT as an interpolation between two CFTs.

Abstract

We discuss dilatonic gravity (bulk theory) from the point of view of (generalized) AdS/CFT correspondence. Self-consistent dilatonic background is considered. It may be understood as two boundaries space where AdS boundary appears as infinite boundary and new (singular) boundary occurs at short distances. The two-point correlation function and conformal dimension for minimal and dilaton coupled scalar are found. Even for minimal scalar, the conformal dimension is found to be different on above two boundaries. Hence, new CFT appears in AdS/CFT correspondence at short distances. AdS/CFT correspondence may be understood as interpolating bulk theory between two different CFTs.