# Three-dimensional super-Yang-Mills theory on the lattice and dual black branes

@article{Catterall2020ThreedimensionalST,
title={Three-dimensional super-Yang-Mills theory on the lattice and dual black branes},
author={Simon Catterall and Joel Giedt and Raghav Govind Jha and David Schaich and Toby Wiseman},
journal={Physical Review D},
year={2020},
volume={102},
pages={106009}
}
In the large-$N$ and strong-coupling limit, maximally supersymmetric SU($N$) Yang--Mills theory in $(2 + 1)$ dimensions is conjectured to be dual to the decoupling limit of a stack of $N$ D$2$-branes, which may be described by IIA supergravity.We study this conjecture in the Euclidean setting using nonperturbative lattice gauge theory calculations.Our supersymmetric lattice construction naturally puts the theory on a skewed Euclidean 3-torus. Taking one cycle to have anti-periodic fermion…
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