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Using a matrix model, we model the deconfining phase transition at nonzerotemperature for a SU(N) gauge theory at large $N$. At infinite $N$ the matrixmodel exhibits a Gross-Witten-Wadia transition. We show that as a consequence,both the order-disorder and the order-order interface tensions vanishidentically at the critical temperature $T_d$. We estimate how these quantitiesvanish in the matrix model as $T \rightarrow T_d$ and as $N \rightarrow\infty$. The numerical solution of the matrix model suggests possiblenon-monotonic behavior in $N$ for relatively small values of $N \sim 5$.

Zero interface tension at the deconfining phase transition for a matrix model of a $SU(\infty)$ gauge theory