The (loop) amplituhedron, squared amplituhedron and correlahedron.

Paul Heslop (Durham U)

Mar 10. 2026, 10:45 — 11:45

Correlation functions of half BPS operators are key quantities in N=4 SYM with a very close unifying relation to amplitudes (several different amplitude integrands arise out of the same correlator). The correlahedron is a corresponding geometric object, proposed in 2017 with Eden and Mason, with a very simple mathematical description, similar to the loop amplituhedron. I will discuss the arguments leading to the correlahedron as well as several developments since then with Dian and Stewart and in progress. In particular I will discuss subtleties of positive geometry, relevant even for the loop amplituhedron, a dual description of the correlahedron, the relation to recent work of He, Huang and Kuo which has verified the correlahedron geometry at 4 points, 4 loops and extension beyond 4 points. 

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Amplitudes and Algebraic Geometry (Thematic Programme)
Organizer(s):
Daniele Agostini (U Tübingen)
Lara Bossinger (UNAM, Oaxaca)
Ruth Britto (Trinity College, Dublin)
Johannes Henn (MPP, Munich)
Jianrong Li (U of Vienna)
Anna-Laura Sattelberger (MPI MIS, Leipzig)
Oliver Schlotterer (Uppsala U)