Asymmetric noncommutative torus has vanishing Einstein tensor
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914385918689280 |
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| author | Bose, Deeponjit Sitarz, Andrzej |
| author_facet | Bose, Deeponjit Sitarz, Andrzej |
| contents | We explicitly compute the spectral metric, torsion and Einstein tensors for a nontrivial spectral triple on a noncommutative torus, with the Dirac operator related to the fully equivariant Dirac by a partial conformal rescaling (as introduced in [1]). The results show that the spectral triple has vanishing torsion and the Einstein tensor also identically vanishes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15539 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymmetric noncommutative torus has vanishing Einstein tensor Bose, Deeponjit Sitarz, Andrzej Quantum Algebra Mathematical Physics Operator Algebras 58B34, 46L87 We explicitly compute the spectral metric, torsion and Einstein tensors for a nontrivial spectral triple on a noncommutative torus, with the Dirac operator related to the fully equivariant Dirac by a partial conformal rescaling (as introduced in [1]). The results show that the spectral triple has vanishing torsion and the Einstein tensor also identically vanishes. |
| title | Asymmetric noncommutative torus has vanishing Einstein tensor |
| topic | Quantum Algebra Mathematical Physics Operator Algebras 58B34, 46L87 |
| url | https://arxiv.org/abs/2511.15539 |