English

On twisted reality conditions

Quantum Algebra 2019-03-08 v1 Mathematical Physics math.MP

Abstract

We study the twisted reality condition of Math. Phys. Anal. Geom. 19 (2016),no. 3, Art. 16, for spectral triples, in particular with respect to the product and the commutant. Motivated by this we present the procedure, which allows one to "untwist" the twisted spectral triples studied in Lett. Math. Phys. 106 (2016), 1499-1530. We also relate this construction to conformally rescaled real twisted spectral triples, and discuss the untwisting of the `minimal twist' procedure of an even spectral triple.

Cite

@article{arxiv.1804.07005,
  title  = {On twisted reality conditions},
  author = {Tomasz Brzezinski and Ludwik Dabrowski and Andrzej Sitarz},
  journal= {arXiv preprint arXiv:1804.07005},
  year   = {2019}
}

Comments

15 pages

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