Mellin transforming the minimal model CFTs: AdS/CFT at strong curvature

TL;DR

This paper demonstrates that Mellin-transformed amplitudes of 2D minimal model CFTs exhibit properties consistent with string theory in AdS3, supporting Mack's conjecture about CFTs and string theories.

Contribution

It provides evidence that minimal model CFTs, when Mellin transformed, resemble string theories in AdS3, advancing understanding of the CFT-string correspondence.

Findings

Mellin amplitudes of minimal models show string-like properties

Supports Mack's conjecture relating CFTs to string theories

Confirms AdS/CFT correspondence in this context

Abstract

Mack has conjectured that all conformal field theories are equivalent to string theories. We explore the example of the two-dimensional minimal model CFTs and confirm that the Mellin transformed amplitudes have the desired properties of string theory in three-dimensional anti-de Sitter spacetime.