Twisted reality condition for Dirac operators
Tomasz Brzezi\'nski, Nicola Ciccoli, Ludwik D\k{a}browski, Andrzej, Sitarz
TL;DR
This paper introduces a new twisted reality condition for Dirac operators, inspired by conformal deformations and quantum cone spectral triples, aiming to advance noncommutative geometry frameworks.
Contribution
It proposes a novel twisted reality condition for Dirac operators, extending the spectral triple concept in noncommutative geometry.
Findings
New twisted reality condition for Dirac operators
Application to conformal deformations and quantum cones
Potential implications for noncommutative geometry
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.
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