Logarithmic conformal field theories and AdS correspondence

TL;DR

This paper extends the AdS/CFT correspondence to include logarithmic conformal field theories, providing a framework to compute n-point functions in these theories via their dual AdS space models.

Contribution

It introduces a generalized AdS/CFT correspondence for logarithmic conformal field theories, enabling the calculation of correlation functions in these non-standard CFTs.

Findings

Established the duality between logarithmic CFTs and AdS space.

Derived n-point functions for logarithmic CFTs from the dual AdS models.

Expanded the scope of AdS/CFT correspondence to new classes of theories.

Abstract

We generalize the Maldacena correspondence to the logarithmic conformal field theories. We study the correspondence between field theories in (d+1)-dimensional AdS space and the d-dimensional logarithmic conformal field theories in the boundary of $AdS_{d+1}$. Using this correspondence, we get the n-point functions of the corresponding logarithmic conformal field theory in d-dimensions.