Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-02-28
JHEP 0906:047,2009
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1088/1126-6708/2009/06/047
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.
Arnlind Joakim
Bordemann Martin
Hofer Laurent
Hoppe Jens
Shimada Hidehiko
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