IAS High Energy Theory Seminar
Bootstrapping N = 4 super-Yang-Mills on the conformal manifold
This seminar will be presented in-person in Wolfensohn Hall at the IAS and on Zoom.
https://theias.zoom.us/j/82957176694pwd=amhzSEpzSmphWElxU2s1MUsxTEZydz09
For contact-tracing purposes all off-campus attendees must register for this seminar:
REGISTRATION FORM
All in-person attendees must be fully vaccinated and masks are required in all indoor spaces (except while actively eating). Additionally, all off-campus attendees are required to upload proof of vaccination via the IAS CrowdPass App .
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.