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(30.04.) AdS Higher-Spin Interactions from CFT

Charlotte Sleight (MPI Munich)

30.04.2015 at 14:15 

The precise nature of quartic and higher-order interactions in higher-spin gauge theories defined on anti-de Sitter (AdS) space remains elusive. To shed some light on this issue, we look to the conjectured equivalence of minimal higher-spin theories on AdS space with certain vector model conformal field theories. In this holographic context, higher-order interaction vertices can be determined from the combined knowledge of simple free theory correlation functions and Witten diagrams involving lower-order interactions. To put this into practice, CFT correlators and Witten diagrams need to be placed on an equal footing. This can be achieved by applying techniques that facilitate the expression of Witten diagrams in the form of a conformal partial wave expansion. We discuss work towards extracting the quartic vertex of the scalar in the minimal bosonic higher-spin theory on AdS_4 in this manner.

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