8 papers
On the Dirichlet Boundary Problem and Hirota Equations
A. Marshakov, A. Zabrodin
We review the integrable structure of the Dirichlet boundary problem in two dimensions. The solution to the Dirichlet boundary problem for simply-connected case is given through a…
On First-Quantized Fermions in Compact Dimensions
A. Marshakov
We discuss the path integral representation for the fermionic particles and strings and concentrate at the problems arising when some target-space dimensions are compact. An exampl…
Seiberg-Witten Systems and Whitham Hierarchies: a Short Review
A. Marshakov, A. Mironov
We briefly review the Whitham hierarchies and their applications to integrable systems of the Seiberg-Witten type. The simplest example of the N=2 supersymmetric SU(2) pure gauge t…
Integrability as Effective Principle of Nonperturbative Field and String Theories
A. Marshakov
One of the perspectives in modern quantum field and string theory is related with the attempts to go beyond the perturbation theory. It turns out that a key principle in the formul…
From Nonperturbative SUSY Gauge Theories to Integrable Systems
A. Marshakov
I review the appearence of integrable structures in the formulation of exact nonperturbative solutions to supersymmetric quantum gauge theories. Various examples of ${\cal N}\…
A Note on Spectral Curve for the Periodic Homogeneous -Spin Chain
A. Gorsky, A. Marshakov, A. Mironov +1
We discuss the construction of the spectral curve and the action integrals for the ``elliptic" spin chain of the length . Our analysis can reflect the integrable structu…