Regular and Irregular Boundary Conditions in the AdS/CFT Correspondence

TL;DR

This paper extends the AdS/CFT correspondence framework by validating a proposal to use irregular boundary conditions, demonstrating its correctness through all orders of perturbation theory.

Contribution

It confirms the validity of using irregular boundary conditions in AdS/CFT, expanding the theoretical understanding of the correspondence.

Findings

Proposal is correct to all orders in perturbation theory.

Supports the use of irregular boundary conditions in AdS/CFT.

Enhances the theoretical foundation of holographic dualities.

Abstract

We expand on Klebanov and Witten's recent proposal for formulating the AdS/CFT correspondence using irregular boundary conditions. The proposal is shown to be correct to any order in perturbation theory.