Towards 4-point correlation functions of any 1 2 $$ \frac{1}{2} $$ -BPS operators from supergravity
Abstract The quartic effective action for Kaluza-Klein modes that arises upon compactification of type IIB supergravity on the five-sphere S5 is a starting point for computing the four-point correlation functions of arbitrary weight 1 2 $$ \frac{1}{2} $$ -BPS operators in N $$ \mathcal{N} $$ = 4 sup...
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Online Access: | http://link.springer.com/article/10.1007/JHEP04(2017)005 |
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doaj-f84af90492564504a45ae3e8f64400c12020-11-24T21:39:45ZengSpringerOpenJournal of High Energy Physics1029-84792017-04-012017411310.1007/JHEP04(2017)005Towards 4-point correlation functions of any 1 2 $$ \frac{1}{2} $$ -BPS operators from supergravityGleb Arutyunov0Sergey Frolov1Rob Klabbers2Sergei Savin3II. Institut für Theoretische Physik, Universität HamburgHamilton Mathematics Institute and School of Mathematics, Trinity CollegeII. Institut für Theoretische Physik, Universität HamburgII. Institut für Theoretische Physik, Universität HamburgAbstract The quartic effective action for Kaluza-Klein modes that arises upon compactification of type IIB supergravity on the five-sphere S5 is a starting point for computing the four-point correlation functions of arbitrary weight 1 2 $$ \frac{1}{2} $$ -BPS operators in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory in the supergravity approximation. The apparent structure of this action is rather involved, in particular it contains quartic terms with four derivatives which cannot be removed by field redefinitions. By exhibiting intricate identities between certain integrals involving spherical harmonics of S5 we show that the net contribution of these four-derivative terms to the effective action vanishes. Our result is in agreement with and provides further support to the recent conjecture on the Mellin space representation of the four-point correlation function of any 1 2 $$ \frac{1}{2} $$ -BPS operators in the supergravity approximation.http://link.springer.com/article/10.1007/JHEP04(2017)005AdS-CFT CorrespondenceSupergravity Models |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Gleb Arutyunov Sergey Frolov Rob Klabbers Sergei Savin |
spellingShingle |
Gleb Arutyunov Sergey Frolov Rob Klabbers Sergei Savin Towards 4-point correlation functions of any 1 2 $$ \frac{1}{2} $$ -BPS operators from supergravity Journal of High Energy Physics AdS-CFT Correspondence Supergravity Models |
author_facet |
Gleb Arutyunov Sergey Frolov Rob Klabbers Sergei Savin |
author_sort |
Gleb Arutyunov |
title |
Towards 4-point correlation functions of any 1 2 $$ \frac{1}{2} $$ -BPS operators from supergravity |
title_short |
Towards 4-point correlation functions of any 1 2 $$ \frac{1}{2} $$ -BPS operators from supergravity |
title_full |
Towards 4-point correlation functions of any 1 2 $$ \frac{1}{2} $$ -BPS operators from supergravity |
title_fullStr |
Towards 4-point correlation functions of any 1 2 $$ \frac{1}{2} $$ -BPS operators from supergravity |
title_full_unstemmed |
Towards 4-point correlation functions of any 1 2 $$ \frac{1}{2} $$ -BPS operators from supergravity |
title_sort |
towards 4-point correlation functions of any 1 2 $$ \frac{1}{2} $$ -bps operators from supergravity |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2017-04-01 |
description |
Abstract The quartic effective action for Kaluza-Klein modes that arises upon compactification of type IIB supergravity on the five-sphere S5 is a starting point for computing the four-point correlation functions of arbitrary weight 1 2 $$ \frac{1}{2} $$ -BPS operators in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory in the supergravity approximation. The apparent structure of this action is rather involved, in particular it contains quartic terms with four derivatives which cannot be removed by field redefinitions. By exhibiting intricate identities between certain integrals involving spherical harmonics of S5 we show that the net contribution of these four-derivative terms to the effective action vanishes. Our result is in agreement with and provides further support to the recent conjecture on the Mellin space representation of the four-point correlation function of any 1 2 $$ \frac{1}{2} $$ -BPS operators in the supergravity approximation. |
topic |
AdS-CFT Correspondence Supergravity Models |
url |
http://link.springer.com/article/10.1007/JHEP04(2017)005 |
work_keys_str_mv |
AT glebarutyunov towards4pointcorrelationfunctionsofany12frac12bpsoperatorsfromsupergravity AT sergeyfrolov towards4pointcorrelationfunctionsofany12frac12bpsoperatorsfromsupergravity AT robklabbers towards4pointcorrelationfunctionsofany12frac12bpsoperatorsfromsupergravity AT sergeisavin towards4pointcorrelationfunctionsofany12frac12bpsoperatorsfromsupergravity |
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1725929491788726272 |