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Fuzzy Riemann surfaces
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
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2009 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 6, 047- p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2009. no 6, 047- p.
Keyword [en]
Non-Commutative Geometry, M(atrix) Theories, quantization, manifolds
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URN: urn:nbn:se:kth:diva-18588DOI: 10.1088/1126-6708/2009/06/047ISI: 000267789300047Scopus ID: 2-s2.0-70350020220OAI: oai:DiVA.org:kth-18588DiVA: diva2:336635
Note
QC 20100525 QC 20120320Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2012-03-20Bibliographically approved

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Arnlind, JoakimHofer, LaurentHoppe, Jens
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