Jeudi 02 avril 2020 à 14h00

Modular Invariance in Superstring amplitudes From N=4 Super-Yang Mills correlators

Congkao Wen, Queen Mary University of London

In this talk, I will discuss the connections between flat-space amplitudes and holographic correlators via AdS/CFT correspondence. The concrete example we will study is 10D type IIB superstring amplitudes in the alpha' expansion and correlation functions in N=4 SYM in the large-N expansion. Due to supersymmetry and SL(2, Z) modular duality symmetry, the 10D type IIB superstring amplitudes at low orders of alpha' expansion (BPS ones) are known exactly, both perturbative and non-perturbative terms. The goal of this talk is to derive such exact results from CFT side. The technique tool we will be using is the supersymmetric localization, allowing us to study the correlators (in 1/N expansion) to all orders in Yang-Mills coupling, which we find to precisely match with the results of 10D type IIB string amplitudes (in alpha' expansion).