Gravity on Finite Groups
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 S3 is treated in detail, and used to build a gravity-like field theory on S3.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- May 2001
- DOI:
- arXiv:
- arXiv:gr-qc/9909028
- Bibcode:
- 2001CMaPh.218..609C
- Keywords:
-
- Field Theory;
- Finite Group;
- Gravity Theory;
- Differential Calculus;
- Bicovariant Differential Calculus;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- LaTeX, 26 pages, 1 figure. Corrected misprints and formula giving exterior product of n 1-forms. Added note on topological action