Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Generalized Fuzzy Torus and its Modular Properties
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Generalized Fuzzy Torus and its Modular Properties
Інший ID:
2010 Mathematics Subject Classification: 81R60; 81T75; 81T30
DOI: http://dx.doi.org/10.3842/SIGMA.2013.060
DOI: http://dx.doi.org/10.3842/SIGMA.2013.060
Посилання:
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.
Підтримка:
This paper is a contribution to the Special Issue on Deformations of Space-Time and its Symmetries. The
full collection is available at http://www.emis.de/journals/SIGMA/space-time.html.
This work was supported by the Austrian Science Fund (FWF) under the contracts P21610 and
P24713.
Дата:
2013
Переглядів:
552
Завантажень:
230
Анотація:
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.
