Fuzzy Riemann Surfaces
High Energy Physics - Theory
2009-06-19 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We introduce C-Algebras (quantum analogues of compact Riemann surfaces), defined by polynomial relations in non-commutative variables and containing a real parameter that, when taken to zero, provides a classical non-linear, Poisson-bracket, obtainable from a single polynomial C(onstraint) function. For a continuous class of quartic constraints, we explicitly work out finite dimensional representations of the corresponding C-Algebras.
Cite
@article{arxiv.hep-th/0602290,
title = {Fuzzy Riemann Surfaces},
author = {J. Arnlind and M. Bordemann and L. Hofer and J. Hoppe and H. Shimada},
journal= {arXiv preprint arXiv:hep-th/0602290},
year = {2009}
}