$\mathbf{AdS_3\times S^3}$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry

We revisit the calculation of holographic correlators in AdS$_{3}$. We develop new methods to evaluate exchange Witten diagrams, resolving some technical difficulties that prevent a straightforward application of the methods used in higher dimensions. We perform detailed calculations in the AdS$_{3}...

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Detalles Bibliográficos
Autores principales: Rastelli, Leonardo, Roumpedakis, Konstantinos, Zhou, Xinan
Lenguaje:eng
Publicado: 2019
Materias:
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/JHEP10(2019)140
http://cds.cern.ch/record/2678272
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author Rastelli, Leonardo
Roumpedakis, Konstantinos
Zhou, Xinan
author_facet Rastelli, Leonardo
Roumpedakis, Konstantinos
Zhou, Xinan
author_sort Rastelli, Leonardo
collection CERN
description We revisit the calculation of holographic correlators in AdS$_{3}$. We develop new methods to evaluate exchange Witten diagrams, resolving some technical difficulties that prevent a straightforward application of the methods used in higher dimensions. We perform detailed calculations in the AdS$_{3}$× S$^{3}$× K 3 background. We find strong evidence that four-point tree-level correlators of KK modes of the tensor multiplets enjoy a hidden 6d conformal symmetry. The correlators can all be packaged into a single generating function, related to the 6d flat space superamplitude. This generalizes an analogous structure found in AdS$_{5}$× S$^{5}$ supergravity.
id cern-2678272
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
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spelling cern-26782722023-10-04T06:56:41Zdoi:10.1007/JHEP10(2019)140http://cds.cern.ch/record/2678272engRastelli, LeonardoRoumpedakis, KonstantinosZhou, Xinan$\mathbf{AdS_3\times S^3}$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetryhep-thParticle Physics - TheoryWe revisit the calculation of holographic correlators in AdS$_{3}$. We develop new methods to evaluate exchange Witten diagrams, resolving some technical difficulties that prevent a straightforward application of the methods used in higher dimensions. We perform detailed calculations in the AdS$_{3}$× S$^{3}$× K 3 background. We find strong evidence that four-point tree-level correlators of KK modes of the tensor multiplets enjoy a hidden 6d conformal symmetry. The correlators can all be packaged into a single generating function, related to the 6d flat space superamplitude. This generalizes an analogous structure found in AdS$_{5}$× S$^{5}$ supergravity.We revisit the calculation of holographic correlators in $AdS_3$. We develop new methods to evaluate exchange Witten diagrams, resolving some technical difficulties that prevent a straightforward application of the methods used in higher dimensions. We perform detailed calculations in the $AdS_3 \times S^3 \times K3$ background. We find strong evidence that four-point tree-level correlators of KK modes of the tensor multiplets enjoy a hidden 6d conformal symmetry. The correlators can all be packaged into a single generating function, related to the 6d flat space superamplitude. This generalizes an analogous structure found in $AdS_5 \times S^5$ supergravity.arXiv:1905.11983oai:cds.cern.ch:26782722019-05-28
spellingShingle hep-th
Particle Physics - Theory
Rastelli, Leonardo
Roumpedakis, Konstantinos
Zhou, Xinan
$\mathbf{AdS_3\times S^3}$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
title $\mathbf{AdS_3\times S^3}$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
title_full $\mathbf{AdS_3\times S^3}$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
title_fullStr $\mathbf{AdS_3\times S^3}$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
title_full_unstemmed $\mathbf{AdS_3\times S^3}$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
title_short $\mathbf{AdS_3\times S^3}$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
title_sort $\mathbf{ads_3\times s^3}$ tree-level correlators: hidden six-dimensional conformal symmetry
topic hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP10(2019)140
http://cds.cern.ch/record/2678272
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AT roumpedakiskonstantinos mathbfads3timess3treelevelcorrelatorshiddensixdimensionalconformalsymmetry
AT zhouxinan mathbfads3timess3treelevelcorrelatorshiddensixdimensionalconformalsymmetry

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