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arxiv: math-ph/0611029 · v1 · pith:47FLIH62 · submitted 2006-11-13 · math-ph · math.MP

Equivariant Lorentzian Spectral Triples

Mario Paschke , Andrzej Sitarz This is my paper

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keywords equivariantspectralgrouplorentzianadaptedalgebraicallowscalculated
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We present examples of equivariant noncommutative Lorentzian spectral geometries. The equivariance with respect to a compact isometry group (or quantum group) allows to construct the algebraic data of a version of spectral triple geometry adapted to the situation of an indefinite metric. The spectrum of the equivariant Dirac operator is calculated.

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    Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.