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Laguerre Ensemble: Correlators, Hurwitz Numbers and Hodge Integrals
2020
Annales de l'Institute Henri Poincare. Physique theorique
We consider the Laguerre partition function and derive explicit generating functions for connected correlators with arbitrary integer powers of traces in terms of products of Hahn polynomials. It was recently proven in Cunden et al. (Ann. Inst. Henri Poincaré D, to appear) that correlators have a topological expansion in terms of weakly or strictly monotone Hurwitz numbers that can be explicitly computed from our formulae. As a second result, we identify the Laguerre partition function with
doi:10.1007/s00023-020-00922-4
fatcat:6tuk7epjxzaidcf5dwayjbzr3i