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We consider the $\pm J$ Ising model on a cubic lattice with a gauge-invariantdisorder distribution. Disorder depends on a parameter $\beta_G$ that plays therole of a chemical potential for the amount of frustration. We study the modelat a specific value of the disorder parameter $\beta_G$, where frustrationshows long-range correlations. We characterize the universality class,obtaining accurate estimates of the critical exponents: $\nu = 0.655(15)$ and$\eta_q = 1.05(5)$, where $\eta_q$ is the overlap susceptibility exponent.

Disordered Ising model with correlated frustration