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

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.

7 pages

References in corpus (4)

• Holographic representation of local bulk operators
• Constructing local bulk observables in interacting AdS/CFT
• D-dimensional Conformal Field Theories with anomalous dimensions as Dual Resonance Models
• Superstring Amplitudes as a Mellin Transform of Supergravity

Cited by in corpus (7)

• Loops in AdS from Conformal Field Theory
• How to Succeed at Holographic Correlators Without Really Trying
• Nonperturbative Mellin Amplitudes: Existence, Properties, Applications
• Physics of the Inverted Harmonic Oscillator: From the lowest Landau level to event horizons
• On Superconformal Four-Point Mellin Amplitudes in Dimension $d>2$
• Holographic Four-Point Functions in the (2, 0) Theory
• Exploring Perturbative Conformal Field Theory in Mellin space