Spectral action for a one-parameter family of Dirac operators on $\bm{ SU}\textbf {(2)}$SU(2) and $\bm{SU}\textbf {(3)}$SU(3)

DOI10.1063/1.4790484zbMath1286.83069arXiv1207.5038OpenAlexW1928073341MaRDI QIDQ5396301

Kevin Teh, Alan Lai

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5038

zbMATH Keywords

Dirac operatorsasymptotic expansionsspectral actionCasimircompact Lie groupPoisson summation formulaEuler-Maclaurin formulainflationary theoryinflation potential

Mathematics Subject Classification ID

Unified quantum theories (81V22) Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) General properties and structure of complex Lie groups (22E10) Astrophysical cosmology (85A40)

Related Items (1)

Cones of \(G\) manifolds and Killing spinors with skew torsion

Cites Work

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• The coupling of topology and inflation in noncommutative cosmology
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• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• Dirac operator and the discrete series
• A closed formula for the product of irreducible representations of SU(3)
• Lie groups beyond an introduction

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