On Affine Lie Superalgebras, AdS_3/CFT Correspondence And World-Sheets For World-Sheets

TL;DR

This paper explores the construction of space-time superconformal algebras from world-sheet free fields, providing a method to compute correlators and discussing implications for superstring theory on AdS_3 with NS fivebranes.

Contribution

It introduces a new prescription for calculating space-time correlators using free field representations of osp(1|2) and sl(2|1), and discusses their application to superstring theory on AdS_3.

Findings

Computed one and two-point correlators of Virasoro and superVirasoro generators.

Presented a scenario incorporating NS fivebranes into the framework.

Provided a simplified model akin to Green's 'world-sheets for world-sheets'.

Abstract

Space-time N=2 and N=4 superconformal algebras can be built using world-sheet free fields or, equivalently, free field representations of osp(1|2) and sl(2|1), respectively. A prescription for the calculation of space-time correlators is given. As applications we compute one and two-point correlation functions of Virasoro (superVirasoro) generators. We also present a possible scenario for taking into account of NS fivebranes in the framework of our construction for description of superstring on AdS_3. It is nothing but a simplified version of Green's ``world-sheets for world-sheets''.