%0 Generic %1 Sleight2017Spinning %A Sleight, Charlotte %A Taronna, Massimo %D 2017 %K witten-diagrams %T Spinning Witten Diagrams %U http://arxiv.org/abs/1702.08619 %X We develop a systematic framework to compute the conformal partial wave expansions (CPWEs) of tree-level four-point Witten diagrams with totally symmetric external fields of arbitrary mass and integer spin in AdS\$\_d+1\$. Employing this framework, we determine the CPWE of a generic exchange Witten diagram with spinning exchanged field. As an intermediate step, we diagonalise the linear map between spinning three-point conformal structures and spinning cubic couplings in AdS. As a concrete application, we compute all exchange diagrams in the type A higher-spin gauge theory on AdS\$\_d+1\$, which is conjectured to be dual to the free scalar \$Ołeft(N\right)\$ model. Given a CFT\$\_d\$, our results provide the complete holographic reconstruction of all cubic couplings involving totally symmetric fields in the putative dual theory on AdS\$\_d+1\$.

@misc{Sleight2017Spinning, abstract = {We develop a systematic framework to compute the conformal partial wave expansions (CPWEs) of tree-level four-point Witten diagrams with totally symmetric external fields of arbitrary mass and integer spin in AdS\$\_{d+1}\$. Employing this framework, we determine the CPWE of a generic exchange Witten diagram with spinning exchanged field. As an intermediate step, we diagonalise the linear map between spinning three-point conformal structures and spinning cubic couplings in AdS. As a concrete application, we compute all exchange diagrams in the type A higher-spin gauge theory on AdS\$\_{d+1}\$, which is conjectured to be dual to the free scalar \$O\left(N\right)\$ model. Given a CFT\$\_d\$, our results provide the complete holographic reconstruction of all cubic couplings involving totally symmetric fields in the putative dual theory on AdS\$\_{d+1}\$.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Sleight, Charlotte and Taronna, Massimo}, biburl = {https://www.bibsonomy.org/bibtex/2b9f0e12ec5264f085adf7d2b5fa7beaf/acastro}, citeulike-article-id = {14289474}, citeulike-linkout-0 = {http://arxiv.org/abs/1702.08619}, citeulike-linkout-1 = {http://arxiv.org/pdf/1702.08619}, day = 2, eprint = {1702.08619}, interhash = {da96a7cb8178b0b6ef0ecf12a4bacd1d}, intrahash = {b9f0e12ec5264f085adf7d2b5fa7beaf}, keywords = {witten-diagrams}, month = mar, posted-at = {2017-03-02 19:24:08}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Spinning Witten Diagrams}}, url = {http://arxiv.org/abs/1702.08619}, year = 2017 }