On Equivalence of two Hurwitz Matrix Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1142/S0217732309031995

In arXiv:0902.2627 a matrix model representation was found for the simplest
Hurwitz partition function, which has Lambert curve phi e^{-phi} = psi as a
classical equation of motion. We demonstrate that Fourier-Laplace transform in
the logarithm of external field Psi converts it into a more sophisticated form,
recently suggested in arXiv:0906.1206.

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