Generalized Fuzzy Torus and its Modular Properties
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Generalized Fuzzy Torus and its Modular Properties
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| Creator |
Schreivogl, P.
Steinacker, H. |
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| Description |
We consider a generalization of the basic fuzzy torus to a fuzzy torus with non-trivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix Laplacian for a scalar field. In the semi-classical limit, the generalized fuzzy torus can be used to approximate a generic commutative torus represented by two generic vectors in the complex plane, with generic modular parameter τ. The effective classical geometry and the spectrum of the Laplacian are correctly reproduced in the limit. The spectrum of a matrix Dirac operator is also computed.
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| Date |
2019-02-21T07:09:00Z
2019-02-21T07:09:00Z 2013 |
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| Type |
Article
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| Identifier |
Generalized Fuzzy Torus and its Modular Properties / P. Schreivogl, H. Steinacker // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 20 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81R60; 81T75; 81T30 DOI: http://dx.doi.org/10.3842/SIGMA.2013.060 http://dspace.nbuv.gov.ua/handle/123456789/149352 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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