Dirac spectrum and spectral action of SU(3)
Alan Lai, Kevin Teh
TL;DR
This paper computes the Dirac spectrum and spectral action for a family of SU(3) Dirac operators, including Levi-Civita, cubic, and trivial cases, providing insights into their spectral properties.
Contribution
It introduces a comprehensive analysis of the Dirac spectrum and spectral action for various SU(3) Dirac operators, extending previous studies to a broader family.
Findings
Explicit spectra for different Dirac operators on SU(3)
Spectral action calculations for the entire family
Comparison of spectral properties across operators
Abstract
We compute the Dirac spectrum of SU(3) for a one parameter family of Dirac operators, including the Levi-Civita, cubic, and trivial Dirac operators. We then proceed to compute the spectral action for the entire family.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Algebra and Geometry · Advanced Topics in Algebra