2–6 Sept 2024
University of Southampton
Europe/London timezone

Strong coupling expansion of determinant observables in supersymmetric gauge theories

6 Sept 2024, 15:10
20m
B44/LTB (University of Southampton)

B44/LTB

University of Southampton

Talk in parallel session Resurgence and non-perturbative methods 2 Parallel sessions

Speaker

Bercel Boldis (HUN-REN Wigner Research Centre for Physics, Budapest University of Technology and Economics)

Description

A special class of observables in N=4 and N=2 SYM can be expressed as determinants of semi-infinite matrices. At strong coupling, the expansion of these observables are asymptotic. The perturbative coefficients was already determined in the literature. We have established a method to systematically calculate the non-perturbative part as well. It is based on the fact that the elements of the defining matrices are given by truncated Bessel kernels. Their structure provide several constraints to the observables in forms of differential and integral equations. Using them and the analyticity properties of the kernel the entire asymptotic series can be determined.

Link to publication (if applicable)

https://journals.aps.org/prl/accepted/49076Y70Dfe11594043f6798550225f14e218977d

Authors

Bercel Boldis (HUN-REN Wigner Research Centre for Physics, Budapest University of Technology and Economics) Mr Gregory P. Korchemsky (Institut de Physique Théorique, Université Paris Saclay) Mr Zoltán Bajnok (HUN-REN Wigner Research Centre for Physics)

Presentation materials