Spectral Flow in AdS(3)/CFT(2)

TL;DR

This paper investigates the spectral flowed sectors of the H3 WZW model within the AdS3/CFT2 holographic duality, explicitly constructs physical vertex operators, and explores three-point functions, advancing the understanding of BPS states and bulk-boundary correspondence.

Contribution

It explicitly constructs physical vertex operators in the spectral flowed sectors and relates three-point couplings in the H3 WZW model to those in the SU(2) WZW model, enhancing the bulk-to-boundary dictionary.

Findings

Constructed physical vertex operators for spectral flowed sectors.

Partial calculation of string three-point functions in flowed sectors.

Connected three-point couplings in H3 WZW to SU(2) WZW model.

Abstract

We study the spectral flowed sectors of the H3 WZW model in the context of the holographic duality between type IIB string theory in AdS(3)x S^3 x T^4 with NSNS flux and the symmetric product orbifold of T^4. We construct explicitly the physical vertex operators in the flowed sectors that belong to short representations of the superalgebra, thus completing the bulk-to-boundary dictionary for 1/2 BPS states. We perform a partial calculation of the string three-point functions of these operators. A complete calculation would require the three-point couplings of non-extremal flowed operators in the H3 WZW model, which are at present unavailable. In the unflowed sector, perfect agreement has recently been found between the bulk and boundary three-point functions of 1/2 BPS operators. Assuming that this agreement persists in the flowed sectors, we determine certain unknown three-point couplings in the H3 WZW model in terms of three-point couplings of affine descendants in the SU(2) WZW model.