Equivariant Lorentzian Spectral Triples

Physics – Mathematical Physics

Scientific paper

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27 pages

Scientific paper

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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