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New Trends in Low Dimensional Physics: Quantum Integrability and Applications
thermalization properties quantum systems
2016/7/25
The workshop 揘ew Trends in Low-Dimensional Physics: Quantum Integrability and Applications?focuses on integrability, as one of the most significant concepts of modern science, characterized by a wide ...
On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System
Lax type integrability Riemann type hydrodynamic system symplectic method differential-algebraic approach
2012/4/26
The complete integrability of a generalized Riemann type hydrodynamic system is studied by means of symplectic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, ...
Hybrid classical integrability in squashed sigma models
hybrid classical integrability High Energy Physics - Theory Mathematical Physics
2011/10/9
Abstract: We show that SU(2)_L Yangian and q-deformed SU(2)_R symmetries are realized in a two-dimensional sigma model defined on a three-dimensional squashed sphere. These symmetries enable us to dev...
Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction
Integrability Supersymmetry Poisson Structures The Pohlmeyer Reduction
2011/7/28
Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction.
Abstract: The pentagram map was introduced by R. Schwartz in 1992 for convex planar polygons. Recently, V. Ovsienko, R. Schwartz, and S. Tabachnikov proved Liouville integrability of the pentagram map...
Beyond cusp anomalous dimension from integrability in SYM$_4$
Beyond cusp anomalous dimension integrability
2010/12/23
We study the first sub-leading correction $O((\ln s)^0)$ to the cusp anomalous dimension in the high spin expansion of finite twist operators in ${\cal N}=4$ SYM theory. This term is still governed b...
Lattice Yang-Mills theories in any dimension may be regarded as coupled 1+1-dimensional integrable field theories. These integrable systems decouple at large center-of-mass energies, where the action...
The concept of quasi-integrability: a concrete example
quasi-integrability concrete example
2010/12/23
We use the deformed sine-Gordon models recently presented by Bazeia et al to discuss possible definitions of quasi-integrability. We present one such definition and use it to calculate an infinite nu...
Lattice Yang-Mills theories in any dimension may be regarded as coupled 1+1-dimensional integrable field theories. These integrable systems decouple at large center-of-mass energies, where the action ...
Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
Classical Integrability the Squashed Three-sphere Warped AdS3 Schroedinger Spacetime
2010/12/23
We discuss the integrability of 2d non-linear sigma models with target space being the squashed three-sphere, warped anti-de Sitter space and the Schroedinger spacetime. These models can be obtained v...
Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
sine-Gordon/massive Thirring correspondence integrability solitons
2010/12/23
Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method reli...
Conservation laws, integrability and transport in one-dimensional quantum systems
Conservation laws one-dimensional quantum systems
2010/11/18
In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ mode...
Integrability breakdown in longitudinaly trapped, one-dimensional bosonic gases
Integrability breakdown one-dimensional bosonic gases
2010/11/17
A system of identical bosons with short-range (contact) interactions is studied. Their motion is confined to one dimension by a tight lateral trapping potential and, additionally, subject to a weak ha...
Lattice Yang-Mills theories in any dimension may be regarded as coupled 1 + 1-dimensional
integrable field theories. These integrable systems decouple at large center-of-mass energies,
where the act...
Applying Integrability to Gauge Theories
Baruch College and the Graduate School and University Center
2010/11/24
Lattice Yang-Mills theories in any dimension may be regarded as coupled 1 + 1-dimensional
integrable field theories. These integrable systems decouple at large center-of-mass energies,
where the act...