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  Fuzzy Riemann surfaces

Arnlind, J., Bordemann, M., Hofer, L., Hoppe, J., & Shimada, H. (2009). Fuzzy Riemann surfaces. Journal of High Energy Physics, 2009(6): 047. doi:10.1088/1126-6708/2009/06/047.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4625-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4628-7
Genre: Journal Article

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jhep062009047.pdf (Publisher version), 275KB
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 Creators:
Arnlind, Joakim1, Author              
Bordemann, Martin, Author
Hofer, Laurent, Author
Hoppe, Jens, Author
Shimada, Hidehiko2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:persistent22              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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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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 Dates: 2009
 Publication Status: Published in print
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 Identifiers: eDoc: 432068
DOI: 10.1088/1126-6708/2009/06/047
Other: arXiv:hep-th/0602290
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2009 (6) Sequence Number: 047 Start / End Page: - Identifier: -