Conformal symmetry of superstrings on $AdS_3\times S^3\times T^4$ and D1/D5 system

TL;DR

This paper investigates the conformal symmetry structure of superstrings on AdS3×S3×T4 and the D1/D5 system, proposing a solution involving the middle N=4 superconformal algebra to address previous gaps.

Contribution

It introduces a novel approach to the superconformal symmetry of superstrings on AdS3×S3×T4, emphasizing the importance of the middle N=4 algebra and resolving related theoretical issues.

Findings

Proposes a solution to the superconformal symmetry doubling problem.

Argues for the relevance of the middle N=4 superconformal algebra.

Identifies why this algebra was previously overlooked.

Abstract

Conformal field theory of the D1/D5 system and superstrings on $AdS_3\times S^3\times T^4$ is studied with particular attention to the world-sheet fields corresponding to the $T^4$ part. A solution to the spacetime N=4 superconformal symmetry doubling and other problems is proposed. It is argued that the relevant spacetime symmetry should be based on the middle N=4 superconformal algebra. It is discussed as to why this superconformal structure has been missed so far.