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arXiv · 0704.1145

Fermionic construction of partition function for multi-matrix models and multi-component TL hierarchy

John Harnad·Alexander Yu. Orlov
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Abstract

We use $p$-component fermions $(p=2,3,...)$ to present $(2p-2)N$-fold integrals as a fermionic expectation value. This yields fermionic representation for various $(2p-2)$-matrix models. Links with the $p$-component KP hierarchy and also with the $p$-component TL hierarchy are discussed. We show that the set of all (but two) flows of $p$-component TL changes standard matrix models to new ones.

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BibTeXRIS

John Harnad, Alexander Yu. Orlov. 2007-04-09. Fermionic construction of partition function for multi-matrix models and multi-component TL hierarchy. https://doi.org/10.1007/s11232-007-0094-0

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