Spinning Witten diagrams

Spinning Witten diagrams

Blog Article

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.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 Soccer Balls AdS.Given a CFT d , 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 W PULLEY PLATE 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.