On regularizing the AdS superstring worldsheet

TL;DR

This paper reviews methods for quantizing the Green-Schwarz superstring in AdS backgrounds with RR-fluxes, emphasizing field theory techniques, regularization schemes, and their implications for understanding AdS/CFT correspondence.

Contribution

It provides a comprehensive overview of perturbative and non-perturbative quantization approaches using field theory methods in AdS backgrounds with RR-fluxes.

Findings

Discussion of regularization schemes for superstring quantization

Analysis of analytical and numerical computational setups

Insights into the structure of AdS/CFT correspondence

Abstract

In this short review (to appear as a contribution to an edited volume) we discuss perturbative and non-perturbative approaches to the quantization of the Green-Schwarz string in AdS backgrounds with RR-fluxes, where the guiding thread is the use of genuine field theory methods, the search for a good regularization scheme associated to them and the generality of the analysis carried out. We touch upon various computational setups, both analytical and numerical, and on the role of their outcomes in understanding the detailed structure of the AdS/CFT correspondence.