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On Twisting Real Spectral Triples by Algebra Automorphisms

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Abstract

We systematically investigate ways to twist a real spectral triple via an algebra automorphism and in particular, we naturally define a twisted partner for any real graded spectral triple. Among other things, we investigate consequences of the twisting on the fluctuations of the metric and possible applications to the spectral approach to the Standard Model of particle physics.

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Authors and Affiliations

  1. Università di Trieste, Trieste, Italy

    Giovanni Landi & Pierre Martinetti

  2. I.N.F.N. Sezione di Trieste, Trieste, Italy

    Giovanni Landi

  3. Università di Genova, Genoa, Italy

    Pierre Martinetti

Authors
  1. Giovanni Landi
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  2. Pierre Martinetti
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Correspondence to Giovanni Landi.

Additional information

This work was partially supported by the Italian Project “Prin 2010-11—Operator Algebras, Noncommutative Geometry and Applications”.

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Landi, G., Martinetti, P. On Twisting Real Spectral Triples by Algebra Automorphisms. Lett Math Phys 106, 1499–1530 (2016). https://doi.org/10.1007/s11005-016-0880-4

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  • DOI: https://doi.org/10.1007/s11005-016-0880-4

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