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Brick wall diagrams as a completely integrable system
We study the free energy of an integrable, planar, chiral and non-unitary four-dimensional Yukawa theory, the bi-fermion fishnet theory discovered by...
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A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation
AbstractWe propose a hierarchy of the nonlocal mKdV (NmKdV) equation. Based on a constraint, we obtain nonlocal finite-dimensional integrable...
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Eight Lectures on Integrable Systems
These lectures provide an introduction to the theory of integrable systems from the point of view of Poisson manifolds. In classical mechanics, an...
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Thermalization and Hydrodynamics in an Interacting Integrable System: The Case of Hard Rods
We consider the relaxation of an initial non-equilibrium state in a one-dimensional fluid of hard rods. Since it is an interacting integrable system,...
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Quantum and Classical Integrable Systems
The key concept discussed in these lectures is the relation between the Hamiltonians of a quantum integrable system and the Casimir elements in the...
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Experimental verification of generalized eigenstate thermalization hypothesis in an integrable system
Identifying the general mechanics behind the equilibration of a complex isolated quantum system towards a state described by only a few parameters...
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Fractional Integrable Dispersive Equations
Fractional equations arise widely in physical systems and nonlinear integrable systems are fundamentally important in the study of nonlinear...
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From one to infinity: symmetries of integrable systems
Integrable systems constitute an essential part of modern physics. Traditionally, to approve a model is integrable one has to find its infinitely...
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Dualities in quantum integrable many-body systems and integrable probabilities. Part I
In this study we map the dualities observed in the framework of integrable probabilities into the dualities familiar in a realm of integrable...
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On the Integrable Structure of Deformed Sine Kernel Determinants
We study a family of Fredholm determinants associated to deformations of the sine kernel, parametrized by a weight function w . For a specific choice...
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An elliptic integrable deformation of the Principal Chiral Model
We introduce a new elliptic integrable σ -model in the form of a two-parameter deformation of the Principal Chiral Model on the group SL ℝ ( N ),...
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Integrable crosscap states: from spin chains to 1D Bose gas
The notion of a crosscap state, a special conformal boundary state first defined in 2d CFT, was recently generalized to 2d massive integrable quantum...
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Inozemtsev system as Seiberg-Witten integrable system
In this work we establish that the Inozemtsev system is the Seiberg-Witten integrable system encoding the Coulomb branch physics of 4d
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Finite volume form factors in integrable theories
We develop a new method to calculate finite size corrections for form factors in two-dimensional integrable quantum field theories. We extract these...
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Integrable hydrodynamics of Toda chain: case of small systems
Passing from a microscopic discrete lattice system with many degrees of freedom to a mesoscopic continuum system described by a few coarse-grained...
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Generation of higher-dimensional isospectral–nonisospectral integrable hierarchies associated with a new class of higher-dimensional column-vector loop algebras
AbstractWe construct a new class of higher-dimensional column-vector loop algebras. Based on it, a method for generating higher-dimensional...
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Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws
Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable...