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

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

2007-04-09

arxiv.org/abs/0704.1145v1

Theor.Math.Phys.152:1099-1110,2007

Physics

Mathematical Physics

16 pages, submitted to a special issue of Theoretical and Mathematical Physics

Scientific paper

10.1007/s11232-007-0094-0

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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