Exact Four-Point Functions: Genus Expansion, Matrix Model, and Strong Coupling (Unusual Room)

by Till Bargheer (Leibniz Universität Hannover & DESY)

Monday 2 Dec 2019, 13:15 → 14:00 Europe/Stockholm

122:026 (Nordita West)

Using integrability, correlation functions of local operators in planar N=4 super Yang-Mills theory can be computed by reconstructing the dual worldsheet from a set of "hexagon" patches via "gluing" (performing complete state sums over mirror Bethe states). After reviewing this general procedure, I will explain how it can be used to compute a certain class of four-point correlators as an exact function of the coupling at any order in the 1/Nc genus expansion, and how the resulting series in some cases can be re-summed via a suitable matrix model to recover the full Nc dependence. If time permits, I will also comment on the strong-coupling limit of these correlators.