Year: 2005
Type: article
Abstract: We study the class of noncommutative theories in $d$ dimensions whose spatial coordinates $({x}_{i}{)}_{i=1}^{d}$ can be obtained by performing a smooth change of variables on $({y}_{i}{)}_{i=1}^{d}$, the coordinates of a standard noncommutative theory, which satisfy the relation $[{y}_{i},{y}_{j}]=i{\ensuremath{\theta}}_{ij}$, with a constant ${\ensuremath{\theta}}_{ij}$ tensor. The ${x}_{i}$ variables verify a commutation relation which is, in general, space dependent. We study the main properties of this special kind of noncommutative theory and show explicitly that, in two dimensions, any theory with a space-dependent commutation relation can be mapped to another where that ${\ensuremath{\theta}}_{ij}$ is constant.
Authors: C. D. Fosco, G. Torroba
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2044289745