Speaker
Vladimir Kazakov
(ENS)
Description
I present complex matrix models for studying general protected correlators of various 1/2-BPS operators in N=4 SYM. The 2-point correlators—character, exponential, and coherent state types—naturally relate to Lin-Lunin-Maldacena geometry. This framework enables explicit computation of correlators involving two or three “huge” operators (dimension ∼N^2), as well as combinations of two huge and one “giant” operator (dimension ∼N). We also compute 3-point correlators of two huge operators with a class of small operators (dimension ∼1), finding exact gauge/gravity correspondence with Skenderis-Taylor results. Finally, we uncover a curious link between 1/4- and 1/8-BPS operators and Eguchi-Kawai reductions of the principal chiral sigma model.