4 papers
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…
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…
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…
Instantons in model and tau functions
A. N. Antonov, A. Yu. Orlov
We show that a number of multiple integrals may viewed as tau functions of various integrable hierarchies. The instanton contributions in the two-dimensional O(3) model is an…