29 August 2025
Albano Building 2
Europe/Stockholm timezone

Matrix models for protected correlators in N=4 SYM and LLM geometry

29 Aug 2025, 16:30
30m
Auditorium 5 (Albano Building 2)

Auditorium 5

Albano Building 2

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.

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