Space-time symmetry from the world-sheet

TL;DR

This paper explores how space-time symmetry algebra is represented on the world-sheet in tensionless strings on AdS3, using the hybrid formalism to derive and verify the space-time OPEs.

Contribution

It introduces a method to compute space-time OPEs from the world-sheet in tensionless AdS3 strings and confirms its correctness through explicit calculations.

Findings

The space-time OPEs are correctly reproduced from the world-sheet.

The hybrid formalism provides a natural prescription for these calculations.

Explicit consistency checks support the proposed method.

Abstract

The tensionless string on AdS$_3$ is a laboratory to study different aspects of the AdS/CFT correspondence. A particular question addressed in this paper is how the space-time symmetry algebra is encoded on the world-sheet. A natural prescription for calculating the space-time OPEs from the world-sheet is presented in the hybrid formalism. An argument showing that the OPEs are correctly reproduced from the world-sheet is provided, together with a few explicit calculations as consistency checks.