Correlators and amplitudes in N=4 super-Yang-Mills

ADS Seminar

Organizers：

数学物理团队

Speaker：

Song He (ITP)

Time：

Thur., 13:30, Oct. 24, 2024

Venue：

Qiuzhen Hall, Ningzhai

Title：

Correlators and amplitudes in N=4 super-Yang-Mills

Abstract:

I will report on new results on three closely-related quantities in N=4 super-Yang-Mills theory, the four-point half-BPS correlator, the (squared) scattering amplitudes and the energy correlators. The four-point correlator of half-BPS operators plays a crucial role in the study of AdS/CFT correspondence, scattering amplitudes and many other topics; it enjoys remarkable hidden symmetries and contains Wilson loops and scattering amplitudes in null limits. We find a new, universal behavior of the correlator dubbed “cusp limit”, which allows us to bootstrap its integrand（and corresponding four-gluon amplitudes) to 11 loops with various new structures. By taking n-gon null limit instead, we obtain new results for squared amplitudes at tree level, which contains the integrand of (leading order) energy correlators with n-3 detectors in the collinear limit; this provides new access to numeric and analytic results of energy correlators. All these are also encoded in a new geometric formulation of the four-point correlator, which naturally extends the geometry of (squared) amplituhedron.