Worldsheet four-point functions in AdS3/CFT2

We calculate some extremal and non-extremal four-point functions on the sphere of certain chiral primary operators for strings on AdS 3×S3×T4. The computation is done for small values of the spacetime cross-ratio where global SL(2) and SU(2) descendants may be neglected in the intermediate channel....

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Detalles Bibliográficos
Autores principales: Cardona, C.A., Kirsch, I.
Formato: JOUR
Materias:
AdS-CFT correspondence
Conformal field models in string theory
Sigma models
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11266708_v2011_n1_p_Cardona
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_11266708_v2011_n1_p_Cardona
record_format dspace
spelling todo:paper_11266708_v2011_n1_p_Cardona2023-10-03T16:06:48Z Worldsheet four-point functions in AdS3/CFT2 Cardona, C.A. Kirsch, I. AdS-CFT correspondence Conformal field models in string theory Sigma models We calculate some extremal and non-extremal four-point functions on the sphere of certain chiral primary operators for strings on AdS 3×S3×T4. The computation is done for small values of the spacetime cross-ratio where global SL(2) and SU(2) descendants may be neglected in the intermediate channel. Ignoring also current algebra descendants, we find that in the non-extremal case the integrated worldsheet correlators factorize into spacetime three-point functions, which is non-trivial due to the integration over the moduli space. We then restrict to the extremal case and compare our results with the four-point correlators recently computed in the dual boundary theory. We also discuss a particular non-extremal correlator involving two chiral and two anti-chiral operators. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11266708_v2011_n1_p_Cardona
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic AdS-CFT correspondence
Conformal field models in string theory
Sigma models
spellingShingle AdS-CFT correspondence
Conformal field models in string theory
Sigma models
Cardona, C.A.
Kirsch, I.
Worldsheet four-point functions in AdS3/CFT2
topic_facet AdS-CFT correspondence
Conformal field models in string theory
Sigma models
description We calculate some extremal and non-extremal four-point functions on the sphere of certain chiral primary operators for strings on AdS 3×S3×T4. The computation is done for small values of the spacetime cross-ratio where global SL(2) and SU(2) descendants may be neglected in the intermediate channel. Ignoring also current algebra descendants, we find that in the non-extremal case the integrated worldsheet correlators factorize into spacetime three-point functions, which is non-trivial due to the integration over the moduli space. We then restrict to the extremal case and compare our results with the four-point correlators recently computed in the dual boundary theory. We also discuss a particular non-extremal correlator involving two chiral and two anti-chiral operators.
format JOUR
author Cardona, C.A.
Kirsch, I.
author_facet Cardona, C.A.
Kirsch, I.
author_sort Cardona, C.A.
title Worldsheet four-point functions in AdS3/CFT2
title_short Worldsheet four-point functions in AdS3/CFT2
title_full Worldsheet four-point functions in AdS3/CFT2
title_fullStr Worldsheet four-point functions in AdS3/CFT2
title_full_unstemmed Worldsheet four-point functions in AdS3/CFT2
title_sort worldsheet four-point functions in ads3/cft2
url http://hdl.handle.net/20.500.12110/paper_11266708_v2011_n1_p_Cardona
work_keys_str_mv AT cardonaca worldsheetfourpointfunctionsinads3cft2
AT kirschi worldsheetfourpointfunctionsinads3cft2
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