Eurostrings 2024

Modularity and Resurgence for N=4 Integrated Correlators

2 Sept 2024, 12:00

30m

B46/LTA (University of Southampton)

Plenary talk Plenary session

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 $\mathcal{N}=4$ 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 $Ad{S}_5\times S^5$ 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.

Link to publication (if applicable)

2405.10204 with Treilis,
2310.12322 with Alday, Chester, Green, Wen,
2308.15252 with Vallarino,
2210.14038 with Green, Wen, Xie

Presentation materials

talkDD.pdf