Time: 16:00, (UTC/GMT+8:00, Beijing/Shanghai), Jun. 20 (Mon.), 2022

Zoom Meeting URL: https://us06web.zoom.us/j/82199101205?pwd=Rk9zNFN4RzViU0VzZkhNYStiaDZZQT09

Meeting Room ID: 821 9910 1205

Passcode: 867928

Speaker: Hynek Paul (Saclay)

Abstract:

I will present a construction of the two-loop amplitude of four graviton supermultiplets in AdS5 x S5. Starting from an ansatz for a preamplitude, the full amplitude is generated by the action of a specific Casimir operator (related to the hidden 10-dimensional conformal symmetry). In passing, I will describe a class of four-dimensional "zigzag" integrals which capture the leading logarithmic discontinuity to all loop orders, and also revisit the prescription of the bulk-point limit of AdS amplitudes. From the two-loop result, one can then extract the two-loop anomalous dimensions of twist-four double-trace operators of generic spin, which includes dependence on (alternating) harmonic sums up to weight three.