Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1908.06796 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929567607816192 |
|---|---|
| author | Barrett, John W. Gaunt, James |
| author_facet | Barrett, John W. Gaunt, James |
| contents | Finite real spectral triples are defined to characterise the non-commutative geometry of a fuzzy torus. The geometries are the non-commutative analogues of flat tori with moduli determined by integer parameters. Each of these geometries has four different Dirac operators, corresponding to the four unique spin structures on a torus. The spectrum of the Dirac operator is calculated. It is given by replacing integers with their quantum integer analogues in the spectrum of the corresponding commutative torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_06796 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Finite spectral triples for the fuzzy torus Barrett, John W. Gaunt, James Quantum Algebra General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 58B34, 81T75 Finite real spectral triples are defined to characterise the non-commutative geometry of a fuzzy torus. The geometries are the non-commutative analogues of flat tori with moduli determined by integer parameters. Each of these geometries has four different Dirac operators, corresponding to the four unique spin structures on a torus. The spectrum of the Dirac operator is calculated. It is given by replacing integers with their quantum integer analogues in the spectrum of the corresponding commutative torus. |
| title | Finite spectral triples for the fuzzy torus |
| topic | Quantum Algebra General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 58B34, 81T75 |
| url | https://arxiv.org/abs/1908.06796 |