Geodesic
Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 2, pp. 265-277 Cet article a éte moissonné depuis la source Math-Net.Ru

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We use $p$-component fermions, $p=2,3,\dots$, to represent $(2p-2)N$-fold integrals as a fermionic vacuum expectation. This yields a fermionic representation for various $(2p-2)$-matrix models. We discuss links with the $p$-component Kadomtsev–Petviashvili hierarchy and also with the $p$-component Toda lattice hierarchy. We show that the set of all but two flows of the $p$-component Toda lattice hierarchy changes standard matrix models to new ones.
Keywords: matrix model, tau function of multicomponent Toda chain, integrable system. 
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J. Harnad; A. Yu. Orlov. Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 2, pp. 265-277. http://geodesic.mathdoc.fr/item/TMF_2007_152_2_a4/

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