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

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dc.creatorHarnad, John
dc.creatorOrlov, Alexander Yu.
dc.date2007-04-09
dc.date.accessioned2026-07-07T12:53:17Z
dc.date.available2026-07-07T12:53:17Z
dc.descriptionWe 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.
dc.description16 pages, submitted to a special issue of Theoretical and Mathematical Physics
dc.identifierhttps://arxiv.org/abs/0704.1145
dc.identifierhttp://arxiv.org/abs/0704.1145
dc.identifierTheor.Math.Phys.152:1099-1110,2007
dc.identifierdoi:10.1007/s11232-007-0094-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223571
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleFermionic construction of partition function for multi-matrix models and multi-component TL hierarchy
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