Correlation functions for non-conformal Dp-brane holography

Abstract We use holography to study correlation functions of local operators in maximally supersymmetric Yang-Mills theories arising on the world-volume of Dp-branes in the large-N and strong-coupling limit. The relevant supergravity backgrounds obtained from the near-horizon limit of the Dp-branes...

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Main Authors: Nikolay Bobev, Guillermo Mera Álvarez, Hynek Paul
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2025)137
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author Nikolay Bobev
Guillermo Mera Álvarez
Hynek Paul
author_facet Nikolay Bobev
Guillermo Mera Álvarez
Hynek Paul
author_sort Nikolay Bobev
collection DOAJ
description Abstract We use holography to study correlation functions of local operators in maximally supersymmetric Yang-Mills theories arising on the world-volume of Dp-branes in the large-N and strong-coupling limit. The relevant supergravity backgrounds obtained from the near-horizon limit of the Dp-branes enjoy a scaling similarity, which leads to an auxiliary AdS space of fractional dimension. This suggests that holographic correlation functions in this setup can be computed by integrating standard CFT correlators over the auxiliary extra dimensions. We apply this prescription to analytically compute two- and three-point correlators of scalar operators. The resulting two-point functions take a familiar CFT form but with shifted conformal dimensions, while the three-point correlators have a much more involved position dependence which we calculate explicitly in terms of a sum of Appell functions.
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issn 1029-8479
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series Journal of High Energy Physics
spelling doaj-art-0cd14bc8f0564fb1a9b56dfa0b5a691f2025-08-20T03:42:45ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025713010.1007/JHEP07(2025)137Correlation functions for non-conformal Dp-brane holographyNikolay Bobev0Guillermo Mera Álvarez1Hynek Paul2Instituut voor Theoretische Fysica, KU LeuvenInstituut voor Theoretische Fysica, KU LeuvenInstituut voor Theoretische Fysica, KU LeuvenAbstract We use holography to study correlation functions of local operators in maximally supersymmetric Yang-Mills theories arising on the world-volume of Dp-branes in the large-N and strong-coupling limit. The relevant supergravity backgrounds obtained from the near-horizon limit of the Dp-branes enjoy a scaling similarity, which leads to an auxiliary AdS space of fractional dimension. This suggests that holographic correlation functions in this setup can be computed by integrating standard CFT correlators over the auxiliary extra dimensions. We apply this prescription to analytically compute two- and three-point correlators of scalar operators. The resulting two-point functions take a familiar CFT form but with shifted conformal dimensions, while the three-point correlators have a much more involved position dependence which we calculate explicitly in terms of a sum of Appell functions.https://doi.org/10.1007/JHEP07(2025)137D-BranesGauge-Gravity CorrespondenceAdS-CFT Correspondence
spellingShingle Nikolay Bobev
Guillermo Mera Álvarez
Hynek Paul
Correlation functions for non-conformal Dp-brane holography
Journal of High Energy Physics
D-Branes
Gauge-Gravity Correspondence
AdS-CFT Correspondence
title Correlation functions for non-conformal Dp-brane holography
title_full Correlation functions for non-conformal Dp-brane holography
title_fullStr Correlation functions for non-conformal Dp-brane holography
title_full_unstemmed Correlation functions for non-conformal Dp-brane holography
title_short Correlation functions for non-conformal Dp-brane holography
title_sort correlation functions for non conformal dp brane holography
topic D-Branes
Gauge-Gravity Correspondence
AdS-CFT Correspondence
url https://doi.org/10.1007/JHEP07(2025)137
work_keys_str_mv AT nikolaybobev correlationfunctionsfornonconformaldpbraneholography
AT guillermomeraalvarez correlationfunctionsfornonconformaldpbraneholography
AT hynekpaul correlationfunctionsfornonconformaldpbraneholography