Calculation of Four Point Correlation Function of Logarithmic Conformal Field Theory Using AdS/CFT Correspondence

TL;DR

This paper employs the AdS/CFT correspondence and a novel nilpotent weights method to compute four-point correlation functions in logarithmic conformal field theories across various dimensions.

Contribution

It introduces a new approach using nilpotent weights to calculate correlation functions in logarithmic CFTs via AdS/CFT correspondence.

Findings

Derived explicit four-point function expressions

Validated the method for arbitrary dimensions

Extended the calculation framework for logarithmic CFTs

Abstract

We use the correspondence between scalar field theory on AdS and induced conformal field theory on its boundary to calculate correlation functions of logarithmic conformal field theory in arbitrary dimensions.Our calculations utilize the newly proposed method of nilpotent weights.We derive expressions for the four point function assuming a generic interaction term