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math.QAJan 1, 2016
11
citations (OpenAlex)
authors
  • Tomasz Brzeziński
  • Nicola Ciccoli
  • Ludwik Dąbrowski
  • Andrzej Sitarz
institutions
  • Institute of Mathematics
  • Jagiellonian University
  • Polish Academy of Sciences
  • Scuola Internazionale Superiore di Studi Avanzati
  • Swansea University
  • University of Białystok
  • University of Perugia
arXiv abstractPDF
paper

Twisted reality condition for Dirac operators

arXiv:1601.07404 · doi:10.1007/s11040-016-9219-8

Abstract

Motivated by examples obtained from conformal deformations of spectral triples and a spectral triple construction on quantum cones we propose a new twisted reality condition for the Dirac operator.

9 pages; v2: changes in presentation and emphasis (including the main definition)

References in corpus (1)

  • Curved Noncommutative Tori as Leibniz Quantum Compact Metric Spaces

Cited by in corpus (8)

  • Lorentz signature and twisted spectral triples
  • Gauge transformations for twisted spectral triples
  • Twisted Standard Model in noncommutative geometry I: the field content
  • On twisted reality conditions
  • Gauss-Bonnet for matrix conformally rescaled Dirac
  • Twisted reality and the second-order condition
  • Gauge transformations of spectral triples with twisted real structures
  • A critical survey of twisted spectral triples beyond the Standard Model
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