Spectral flow in AdS 3/CFT 2

Gastón Giribet; Ari Pakman; Leonardo Rastelli

doi:10.1088/1126-6708/2008/06/013

Spectral flow in AdS ₃/CFT ₂

Gastón Giribet, Ari Pakman, Leonardo Rastelli

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

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 × S ³ × 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.

Original language	English
Article number	013
Journal	Journal of High Energy Physics
Volume	2008
Issue number	6
DOIs	https://doi.org/10.1088/1126-6708/2008/06/013
State	Published - 1 Jun 2008
Externally published	Yes

Keywords

AdS-CFT correspondence
Conformal field models in string theory
Superstrings and heterotic strings

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1088/1126-6708/2008/06/013

Cite this

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title = "Spectral flow in AdS 3/CFT 2 ",

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 × S 3 × 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.",

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AU - Giribet, Gastón

AU - Pakman, Ari

AU - Rastelli, Leonardo

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N2 - 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 × S 3 × 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.

AB - 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 × S 3 × 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.

KW - AdS-CFT correspondence

KW - Conformal field models in string theory

KW - Superstrings and heterotic strings

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