Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills

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We report on the results of numerical simulations of $SU(N)$ lattice Yang Mills with two flavors of (light) Wilson fermion in the adjoint representation.

• We analytically and numerically address the question of center symmetry realization on lattices with $\Gamma$ sites in each direction in the large-$N$ limit.
• We show, by a weak coupling calculation that, for massless fermions, center symmetry realization is independent of $\Gamma$, and is unbroken.
• Then, we extend our result by conducting simulations at non zero mass and finite gauge coupling.