Twisted reality condition for spectral triple on two points
Ludwik Dabrowski, Andrzej Sitarz
TL;DR
This paper explores the structure of spectral triples with twisted reality conditions on a two-point space, analyzing gauge fluctuations, conformal rescalings, and permutations to understand their geometric and algebraic properties.
Contribution
It provides a detailed analysis of low-dimensional spectral triples with twisted reality conditions, including various perturbations and transformations, expanding the understanding of noncommutative geometric models.
Findings
Characterization of spectral triples with twisted reality on two points
Analysis of gauge and chiral gauge perturbations
Effects of conformal rescalings and permutations
Abstract
Lowest dimensional spectral triples with twisted reality condition over the function algebra on two points are discussed. The gauge perturbations (fluctuations), chiral gauge perturbations, conformal rescalings, and permutation of the two points are presented.
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