Title: Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators

Speaker: Prof. Benjamin Basso

Affiliation: École normale supérieure de Paris, France

Time: 16:00-17:00, Tuesday, 10th October, 2023 (UTC+8, Beijing Time)

Venue: Zoom Meeting (ID: 385 442 0225; Passcode: yauc)

Inviter: Ryo Suzuki

Benjamin Basso--Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators.pdf

Abstract  

We propose a dual Wilson loop description for the MHV super form factors of half-BPS operators in planar N = 4 super-Yang-Mills theory. In this description, the local operators are represented by on-shell states, made out of zero-momentum particles, that are absorbed by a null periodic super Wilson loop. We present evidence for this duality at weak coupling, by performing an explicit calculation of the Wilson loop matrix elements through one loop. At tree level, the interactions localize at the cusps of the loop, revealing a simple connection between the super form factors and the m = 2 tree amplituhedron. At loop level, we show that the Wilson loop calculation reproduces the known results for the super form factors. Inspired by this duality, we extend the OPE program developed for the form factors of the Lagrangian to the super form factors of the higher-charge operators. We introduce non-perturbative axioms and conjectures for the main building blocks that govern the exchange of the lightest flux-tube excitations. These blocks appear as simple refinements of the form factor transitions introduced in earlier OPE studies. They are expressed at any value of the ’t Hooft coupling in terms of the tilted Beisert-Eden-Staudacher kernel. We carry out checks of our conjectures up to two loops at weak coupling for three- and four-point form factors of half-BPS operators of various lengths, finding perfect agreement with perturbative data.

Speaker

Dr Benjamin Basso has obtained PhD in 2009 from Paris-Sud University in Orsay. He continued his research by taking the postdoc positions at Princeton University and Perimeter Institute, before joining Theoretical Physics Laboratory at École Normale Supérieure as faculty. He obtained Bronze Medal from CNRS in 2019.