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1
Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2018)148
Abstract: A bstractWe construct a hierarchy of integrable systems whose Poisson structure corresponds to the BMS3 algebra, and then discuss its description in terms of the Riemannian geometry of locally flat spacetimes in three dimensions.The analysis…
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Keywords:
integrable systems;
systems bms3;
poisson structure;
locally flat ... See more keywords
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Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2019)100
Abstract: Abstract We discuss relation between the cluster integrable systems and spin chains in the context of their correspondence with 5d supersymmetric gauge theories. It is shown that $$ {\mathfrak{gl}}_N $$ gl N XXZ-type spin chain…
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Keywords:
integrable systems;
cluster integrable;
spin;
systems spin ... See more keywords
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Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-4070-z
Abstract: We establish the integrability for some classes of dynamic systems on the tangent bundles of two– and three-dimensional manifolds (systems with two and three degrees of freedom). The force fields possess the so-called variable dissipation…
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Keywords:
two three;
integrable systems;
degrees freedom;
systems dissipation ... See more keywords
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Published in 2017 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-017-1018-z
Abstract: These notes are an expanded version of a mini-course given at the Poisson 2016 conference in Geneva. Starting from classical integrable systems in the sense of Liouville, we explore the notion of non-degenerate singularities and…
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Keywords:
integrable systems;
systems symmetries;
symmetries quantization;
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Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.103733
Abstract: Abstract In the present paper we consider a problem of separation of variables for Lax-integrable hamiltonian system generated by general non-skew-symmetric g l ( 2 ) ⊗ g l ( 2 ) -valued classical r…
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Keywords:
valued classical;
integrable systems;
separation variables;
variables lax ... See more keywords
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Published in 2020 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2020.115220
Abstract: Abstract We show that the (torsional) nonrelativistic string sigma models on R × S 2 can be mapped into deformed Rosochatius like integrable models in one dimension. We also explore the associated Hamiltonian constrained structure…
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Keywords:
integrable systems;
strings integrable;
nonrelativistic strings;
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Published in 2017 at "Nature Communications"
DOI: 10.1038/ncomms15767
Abstract: Weak perturbations can drive an interacting many-particle system far from its initial equilibrium state if one is able to pump into degrees of freedom approximately protected by conservation laws. This concept has for example been…
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Keywords:
state;
integrable systems;
spin;
pumping approximately ... See more keywords
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Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5005816
Abstract: Moving frames and Clifford algebras will be used to illustrate an interconnected approach to the study of integrable systems, their surfaces, and methods for producing integrable partial differential equations. After a system of one-forms is…
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Keywords:
cartan frames;
algebras links;
integrable systems;
links integrable ... See more keywords
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Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5053429
Abstract: From the viewpoint of integrable systems on algebraic curves, we discuss linearization of birational maps arising from the seed mutations of types $A^{(1)}_1$ and $A^{(2)}_2$, which enables us to construct the set of all cluster…
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Keywords:
seed;
integrable systems;
seed mutations;
curve ... See more keywords
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Published in 2017 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2016.1250082
Abstract: ABSTRACT In this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials orthogonal with respect to a complex matrix measure. In order to study the solution of this dynamical…
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Keywords:
via matrix;
interpretation integrable;
integrable systems;
systems via ... See more keywords
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Published in 2017 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aa7df0
Abstract: Integrable models provide an exact description for a wide variety of physical phenomena. For example nested integrable systems contain different species of interacting particles with a rich phenomenology in their collective behavior, which is the…
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Keywords:
nested integrable;
integrable systems;
quench;
exact solution ... See more keywords