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For distinct complex numbers $z_1,...,z_{2N}$, we give a polynomial$P(y_1,...,y_{2N})$ in the variables $y_1,...,y_{2N}$, which is homogeneous ofdegree $N$, linear with respect to each variable, $sl_2$-invariant with respectto a natural $sl_2$-action, and is of order $N-1$ at$(y_1,...,y_{2N})=(z_1,...,z_{2N})$.  We give also a Selberg integral type formula for the associatedone-dimensional space of conformal blocks.

A Selberg Integral Type Formula for an sl_2 One-Dimensional Space of Conformal Blocks