Chern-Simons Theories in the AdS/CFT Correspondence

TL;DR

This paper explores the AdS/CFT correspondence for three-dimensional theories with Chern-Simons terms, deriving boundary two-point functions and confirming equivalences between different models.

Contribution

It computes boundary two-point functions for Proca-Chern-Simons and Self-Dual models, and analyzes limits for Maxwell-Chern-Simons, confirming theoretical equivalences.

Findings

Derived two-point functions for boundary theories.

Confirmed the equivalence between Maxwell-Chern-Simons and Self-Dual models.

Analyzed specific limits of the theories.

Abstract

We consider the AdS/CFT correspondence for theories with a Chern-Simons term in three dimensions. We find the two-point functions of the boundary conformal field theories for the Proca-Chern-Simons theory and the Self-Dual model. We also discuss particular limits where we find the two-point function of the boundary conformal field theory for the Maxwell-Chern-Simons theory. In particular our results are consistent with the equivalence between the Maxwell-Chern-Simons theory and the Self-Dual model.