Holographic Mellin Amplitudes

Holographic four-point functions are known for their notorious computational difficulties. In the past two decades, only a handful of them have been explicitly calculated using the standard algorithm. In this talk I will introduce modern methods to compute holographic correlators efficiently, which are inspired by the bootstrap philosophy and the on-shell methods of scattering amplitudes in flat space. I will show that by translating the problem into Mellin space many difficulties encountered when applying the traditional method are avoided. I will argue that imposing symmetry constraints and general consistency conditions -- avoiding all details of the complicated effective Lagrangian -- leads to many novel results for holographic four-point functions in AdS5×S5, AdS7×S4 and AdS4×S7. I will conclude by outlining some interesting future directions of this program.
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Leinweber Center for Theoretical Physics,
Mar 7, 2018, 12:03 PM