Title: Bootstrapping N = 4 super-Yang-Mills on the conformal manifold

Speaker: Shai Chester

Affiliation: Harvard University, the U.S.

Time: 20:00-21:00, Tuesday, 18th April, 2023 (UTC+8, Beijing Time)

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

Inviter: Zhijin Li (李志金)

Abstract  

We study the N = 4 SYM stress tensor multiplet 4-point function for any value of the complexified coupling tau, and in principle any gauge group (we focus on SU(2) and SU(3) for simplicity). By combining non-perturbative constraints from the numerical bootstrap with two exact constraints from supersymmetric localization, we are able to compute upper bounds on low-lying CFT data (e.g. the Konishi) for any value of tau. These upper bounds are very close to the 4-loop weak coupling predictions in the appropriate regime. We also give preliminary evidence that these upper bounds become small islands under reasonable assumptions, in which case our method would provide a numerical solution to N = 4 SYM for any gauge group and tau.

Speaker

Dr. Shai Chester did his PhD at Princeton, a postdoc at Weizmann, and is now a postdoc at Harvard University. He will be starting a faculty position at Imperial College London in the fall. He studies strongly coupled Conformal Field Theories with applications to quantum gravity and phase transitions in condensed matter physics.