Asymmetric noncommutative torus has vanishing Einstein tensor
Quantum Algebra
2026-03-12 v2 Mathematical Physics
math.MP
Operator Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.2511.15539,
title = {Asymmetric noncommutative torus has vanishing Einstein tensor},
author = {Deeponjit Bose and Andrzej Sitarz},
journal= {arXiv preprint arXiv:2511.15539},
year = {2026}
}
Comments
17 pages