期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 6, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP06(2017)100
关键词
AdS-CFT Correspondence; Conformal Field Theory; Higher Spin Gravity; Higher Spin Symmetry
资金
- Scientific Research-FNRS Belgium
- Russian Science Foundation [17-42-00002] Funding Source: Russian Science Foundation
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). As an intermediate step, we identify convenient bases of three-point bulk and boundary structures to invert linear map between spinning three-point conformal structures and spinning cubic couplings in AdS. Given a CFTd, this provides the complete holographic reconstruction of all cubic couplings involving totally symmetric fields in the putative dual theory on AdS(d+1). Employing this framework, we determine the CPWE of a generic four-point exchange Witten diagram with spinning exchanged field. As a concrete application, we compute all four-point exchange Witten diagrams in the type A higher-spin gauge theory on AdS(d+1), which is conjectured to be dual to the free scalar O (N) model.
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