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9 papers · 1 filter
Classification of the GL(3) Quantum Matrix Groups
Holger Ewen, Oleg Ogievetsky
We define quantum matrix groups GL(3) by their coaction on appropriate quantum planes and the requirement that the Poincare series coincides with the classical one. It is shown tha…
On Long-Range Order in Low-Dimensional Lattice-Gas Models of Nematic Liquid Crystals
N. Angelescu, S. Romano, V. A. Zagrebnov
The problem of the orientational ordering transition for lattice-gas models of liquid crystals is discussed in the low-dimensional case . For isotropic short-range interacti…
Automatic Biases Correction
R. Triay
The key point limits to define the {\it statistical model} describing the data distribution. Hence, it turns out that the characteristics related to the so-called. Inverse Tully-Fi…
Motion of a Single Hole in a Disordered Magnetic Background
A. Belkasri, J. L. Richard
The spectrum of a single hole is calculated within the spin-hole model using a variational method. This calculation is done for any rotational invariant magnetic background. We hav…
Existence of Long-Range Order in Quasi-Two-Dimensional Hubbard Model
A. Belkasri, J. L. Richard
In recent work of Monthoux and Pines~[1] and also in Rice et {\sl al.}'s work~[2], quasi-averages like were considered even in t…
Nematogenic Lattice Models in One or Two Dimensions and with Long-Range Interactions
N. Angelescu, S. Romano, V. A. Zagrebnov
Extending previous rigorous results, we prove existence of an ordering transition at finite temperature for a class of nematogenic lattice models, where spins are associated with a…
Conformal Properties of Chern-Simons Vortices in External Fields
C. Duval, P. A. Horvathy, L. Palla
The construction and the symmetries of Chern-Simons vortices in harmonic and uniform magnetic force backgrounds found by Ezawa, Hotta and Iwazaki, and by Jackiw and Pi are generali…
Conformal Properties of Chern-Simons Vortices in External Fields
C. Duval, P. A. Horváthy, L. Palla
The construction and the symmetries of Chern-Simons vortices in harmonic and uniform magnetic force backgrounds found by Ezawa, Hotta and Iwazaki, and by Jackiw and Pi are generali…
Conformal symmetry of the coupled Chern-Simons and gauged nonlinear Schrödinger equations
C. Duval, P. A. Horvathy, L. Palla
The non-relativistic conformal symmetry found by Jackiw and Pi for the coupled Chern-Simons and gauged nonlinear Schrödinger equations in the plane is derived in a non-relativistic…