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...

Full description

Saved in:
Bibliographic Details
Published inTheoretical and mathematical physics Vol. 217; no. 3; pp. 1807 - 1820
Main Authors Antonov, E. N., Orlov, A. Yu
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2023
Springer Nature B.V
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
projective Schur’s functions
matrix model
string equation
tau function
BKP hierarchy
Online AccessGet full text

Cover

More Information
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