3 papers
hep-th2023
Coupling of different solvable ensembles of random matrices
E. N. Antonov, A. Yu. Orlov, D. V. Vasiliev
Explicit expressions for multimatrix models with complex and unitary matrices allows to couple these models with well-known unitary, orthogonsl and sympletic ensembles. We consider…
hep-th2023
New solvable two-matrix model and BKP tau function
E. N. Antonov, A. Yu. Orlov
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 writte…
nlin.SI2023
Sigma model instantons and singular tau function
E. N. Antonov, A. Yu. Orlov
The generating series for the instanton contribution to Green functions of the sigma model was found in the works of Schwarz, Fateev and Frolov. We show that this series can b…