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

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...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2023-12, Vol.217 (3), p.1807-1820
Main Authors: Antonov, E. N., Orlov, A. Yu
Format: Article
Language:English
Subjects:
14/34
639/766/189
639/766/530
639/766/747
Applications of Mathematics
Fermions
Mathematical and Computational Physics
Partitions (mathematics)
Perturbation theory
Physics
Physics and Astronomy
Theoretical
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577923120012