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Gravity on Finite Groups

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Abstract:

Gravity theories are constructed on finite groups G. A self-consistent review of the differential calculi on finite G is given, with some new developments. The example of a bicovariant differential calculus on the nonabelian finite group S 3 is treated in detail, and used to build a gravity-like field theory on S 3.

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Authors and Affiliations

  1. Dipartimento di Scienze e Tecnologie Avanzate, East Piedmont University, Italy and Dipartimento di Fisica Teorica and I.N.F.N, Via P. Giuria 1, 10125 Torino, Italy. E-mail: castellani@to.infn.it, , , , , , IT

    Leonardo Castellani

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  1. Leonardo Castellani
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Received: 11 November 1999 / Accepted: 11 December 2000

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Castellani, L. Gravity on Finite Groups. Commun. Math. Phys. 218, 609–632 (2001). https://doi.org/10.1007/s002200100409

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  • DOI: https://doi.org/10.1007/s002200100409

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