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Virasoro Symmetry in a 2 h-dimensional Model and Its Implications

The set of two partial differential equations for the Appell hypergeometric function in two variables F4(α, β, γ, α+ β − γ + 2 − h; x, y) is shown to arise as a null vector decoupling relation in a 2h-dimensional generalisation of the Coulomb gas model. It corresponds to a level two singular vector of an intrinsic Virasoro algebra. Dedicated to the memory of Mitko Stoyanov