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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 217, Number 3, Pages 457–472
DOI: https://doi.org/10.4213/tmf10616 (Mi tmf10616) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A new solvable two-matrix model and the BKP tau function

E. N. Antonova, A. Yu. Orlovbc

a The Petersburg Nuclear Physics Institute, The National Research Center "Kurchatov Institute"
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
c Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10616
Abstract: We present exactly solvable modifications of the two-matrix Zinn-Justin–Zuber model and write it as a tau function. The grand partition function of these matrix integrals is written as the fermion expectation value. The perturbation theory series is written explicitly in terms of a series in strict partitions. The related string equations are presented.
Keywords: matrix model, tau function, projective Schur's functions, string equation, BKP hierarchy.
Funding agency Grant number
Russian Science Foundation 23-41-00049
This work was supported by the Russian Science Foundation (grant No. 23-41-00049).
Received: 27.09.2023
Revised: 27.09.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 217, Issue 3, Pages 1807–1820
DOI: https://doi.org/10.1134/S0040577923120012
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. N. Antonov, A. Yu. Orlov, “A new solvable two-matrix model and the BKP tau function”, TMF, 217:3 (2023), 457–472; Theoret. and Math. Phys., 217:3 (2023), 1807–1820
Citation in format AMSBIB
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\by E.~N.~Antonov, A.~Yu.~Orlov
\paper A~new solvable two-matrix model and the~BKP tau function
\jour TMF
\yr 2023
\vol 217
\issue 3
\pages 457--472
\mathnet{http://mi.mathnet.ru/tmf10616}
\crossref{https://doi.org/10.4213/tmf10616}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4700025}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...217.1807A}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 217
\issue 3
\pages 1807--1820
\crossref{https://doi.org/10.1134/S0040577923120012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85180522640}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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