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Explore extremal cubic couplings in Anti-de Sitter (AdS) spacetime through this 44-minute physics seminar presented by Shai Chester from Imperial College. Delve into the theoretical framework where bulk fields satisfy the relationship Δᵢ+Δⱼ=Δₖ, leading to divergent 3-point Witten diagrams that are absent in maximally supersymmetric theories. Examine string theory and M-theory on singular spacetimes with fixed point loci AdS_{d+1}×S³ for d=3,4,6 dimensions, which correspond to conformal field theories (CFTs) in d dimensions. Investigate the infinite towers of graviton modes and gluon modes present on singularities, and learn how to compute the non-zero (super)-extremal couplings between these modes. Follow the calculation of graviton exchange terms in holographic correlators of gluon Kaluza-Klein modes and understand how these results match expected outcomes in the flat space limit. Discover how graviton exchange terms enable the computation of unmixing between single trace graviton modes and double traces of gluon modes, providing insight into the nature of divergent 3-point diagrams in AdS/CFT correspondence.
