Wormholes/Boltzmann Fields Duality

It is known that the master fields for large $N$ matrix fields satisfy the Boltzmann statistic. We consider holographic duals for correlators of Boltzmann fields at the boundary. It is shown that summation over wormhole configurations in the bulk corresponds to computation of correlation functions of fields with Boltzmann statistic on the boundary, i.e. wormhole configurations are dual to Boltzman correlators.