Jul 26 – 30, 2021
US/Eastern timezone

Lattice N = 4 super Yang-Mills at strong coupling

Jul 29, 2021, 1:30 PM
Oral presentation Particle physics beyond the Standard Model Particle physics beyond the Standard Model


Goksu Can Toga (Syracuse University)


In this talk we present results from numerical simulations of $\mathcal{N}$ = 4 super Yang-Mills for two color gauge theory over a wide range of ’t Hooft coupling $0 < \lambda ≤ 30$ using a supersymmetric lattice action. Numerical study of this lattice theory has been stymied until recently by both sign problems and the occurrence of lattice artifact phases at strong coupling. We have recently developed a new action that appears capable of solving both problems. The resulting action possesses just $SU(2)$ rather than $U(2)$ gauge symmetry. By explicit computations of the fermion Pfaffian we present evidence that the theory possesses no sign problem and exists in a single phase out to arbitrarily strong coupling. Furthermore, preliminary work shows that the logarithm of the supersymmetric Wilson loop varies as the square root of the ’t Hooft coupling $\lambda$ for large $\lambda$ in agreement with holographic predictions.

Primary authors

Prof. Simon Catterall (Syracuse University ) Joel Giedt Goksu Can Toga (Syracuse University)

Presentation materials