Geodesic
A~new solvable two-matrix model and the~BKP tau function
Teoretičeskaâ i matematičeskaâ fizika, Tome 217 (2023) no. 3, pp. 457-472

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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. 
@article{TMF_2023_217_3_a1,
     author = {E. N. Antonov and A. Yu. Orlov},
     title = {A~new solvable two-matrix model and {the~BKP} tau function},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {457--472},
     publisher = {mathdoc},
     volume = {217},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2023_217_3_a1/}
}
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E. N. Antonov; A. Yu. Orlov. A~new solvable two-matrix model and the~BKP tau function. Teoretičeskaâ i matematičeskaâ fizika, Tome 217 (2023) no. 3, pp. 457-472. http://geodesic.mathdoc.fr/item/TMF_2023_217_3_a1/