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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 152, Number 2, Pages 265–277
DOI: https://doi.org/10.4213/tmf6086 (Mi tmf6086) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy

J. Harnadab, A. Yu. Orlovc

a Université de Montréal, Centre de Recherches Mathématiques
b Concordia University, Department of Mathematics and Statistics
c P. P. Shirshov institute of Oceanology of RAS
Full-text PDF (461 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf6086
Abstract: 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.
English version:
Theoretical and Mathematical Physics, 2007, Volume 152, Issue 2, Pages 1099–1110
DOI: https://doi.org/10.1007/s11232-007-0094-0
Bibliographic databases:
Language: Russian
Citation: J. Harnad, A. Yu. Orlov, “Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy”, TMF, 152:2 (2007), 265–277; Theoret. and Math. Phys., 152:2 (2007), 1099–1110
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6086
  • https://www.mathnet.ru/eng/tmf/v152/i2/p265
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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