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Matching of correlators in AdS3/CFT2

Matching of correlators in AdS3/CFT2
Matching of correlators in AdS3/CFT2
Recently exact agreement has been found between three-point correlators of (single particle) chiral operators computed in string theory on AdS3 × S3 × T4 with NS-NS flux and those computed in the symmetric orbifold CFT. However, it has also been shown that these correlators disagree with those computed in supergravity, under any identification of single particle operators which respects the symmetries. In this note we resolve this disagreement: the key point is that mixings with multi-particle operators are not suppressed even at large N in extremal correlators. Allowing for such mixings, orbifold/string theory operators and supergravity operators can be matched such that both non-extremal and extremal three point functions agree, giving further evidence for the non-renormalization of the chiral ring.
JHEP06(2008)010-[16pp]
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22

Taylor, Marika (2008) Matching of correlators in AdS3/CFT2. Journal of High Energy Physics, 2008 (6), JHEP06(2008)010-[16pp]. (doi:10.1088/1126-6708/2008/06/010).

Record type: Article

Abstract

Recently exact agreement has been found between three-point correlators of (single particle) chiral operators computed in string theory on AdS3 × S3 × T4 with NS-NS flux and those computed in the symmetric orbifold CFT. However, it has also been shown that these correlators disagree with those computed in supergravity, under any identification of single particle operators which respects the symmetries. In this note we resolve this disagreement: the key point is that mixings with multi-particle operators are not suppressed even at large N in extremal correlators. Allowing for such mixings, orbifold/string theory operators and supergravity operators can be matched such that both non-extremal and extremal three point functions agree, giving further evidence for the non-renormalization of the chiral ring.

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More information

Published date: 4 June 2008
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 341279
URI: http://eprints.soton.ac.uk/id/eprint/341279
PURE UUID: c1b65795-6830-48c1-93e3-456b7461b8af
ORCID for Marika Taylor: ORCID iD orcid.org/0000-0001-9956-601X

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Date deposited: 18 Jul 2012 15:32
Last modified: 15 Mar 2024 03:42

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