Isoperimetry / Concentration Inequality

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I am currently working with Lipschitz functions $f: \{ 1, \dots , N \}^d \to \mathbf{R}$, and trying to obtain concentration bounds on $f(X)$ about it's mean, where $X$ is uniformly distributed on $\{ 1, \dots, N \}^d$. What is the best result in this setting?