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arXiv · hep-th/0602290

Fuzzy Riemann Surfaces

J. Arnlind·M. Bordemann·L. Hofer·J. Hoppe·H. Shimada
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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.

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J. Arnlind, M. Bordemann, L. Hofer, J. Hoppe, H. Shimada. 2006-02-28. Fuzzy Riemann Surfaces. https://doi.org/10.1088/1126-6708%2F2009%2F06%2F047

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