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May 20 – 24, 2024
Yukawa Institute for Theoretical Physics, Kyoto University
Asia/Tokyo timezone

Modularity and Resurgence for N=4 Integrated Correlators

May 22, 2024, 4:15 PM
1h
Panasonic Auditorium, Yukawa Hall (Yukawa Institute for Theoretical Physics, Kyoto University)

Panasonic Auditorium, Yukawa Hall

Yukawa Institute for Theoretical Physics, Kyoto University

Kitashirakawa Oiwake-Cho, Sakyo-Ku, Kyoto 606-8502 Japan

Speaker

Daniele Dorigoni (Durham University)

Description

I will describe a surprisingly simple representation of a class of integrated correlation functions of four superconformal primaries in the stress tensor multiplet of N=4 supersymmetric Yang-Mills theory with arbitrary simple gauge group, G. I then present exact formulae for these integrated correlators which are manifestly invariant under GNO electro-magnetic duality. For classical gauge groups, G=SU(N), SO(N), USp(2N), In the large-N limit these correlators are interpreted via holography in terms of the low-energy expansion of type IIB superstring amplitudes in AdS_5XS^5 or an orientifold thereof.
From the asymptotic perturbative large-N expansion of these integrated correlators we can reconstruct non-perturbative, but modular invariant exponentially suppressed terms via resurgence analysis.

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