Dynamics of chiral primaries in $AdS_3 \times S^3 \times T^4$

TL;DR

This paper investigates the dynamics of chiral primaries in the D1/D5 system within AdS3×S3×T4, establishing a correspondence between supergravity fluctuations and collective field theory, revealing interactions and chiral bosons.

Contribution

It provides a detailed analysis of chiral primary dynamics, connecting supergravity fluctuations with the S_N orbifold CFT and demonstrating the emergence of interactions and chiral bosons.

Findings

Confirmation of chiral bosons in supergravity

Derivation of the symplectic form for degrees of freedom

Identification of cubic interactions in the theory

Abstract

We study in more detail the dynamics of chiral primaries of the D1/D5 system. From the CFT given by the $S_{n}$ orbifold a study of correlators resulted in an interacting (collective) theory of chiral operators. In $AdS_{3}\times S^{3}$ SUGRA we concentrate on general 1/2 BPS configurations described in terms of a fundamental string .We first establish a correspondence with the linerized field fluctuations and then present the nonlinear analysis. We evaluate in detail the symplectic form of the general degrees of freedom in Sugra and confirm the appearance of chiral bosons. We then discuss the apearance of interactions and the cubic vertex,in correspondence with the $S_{N}$ collective field theory representation.