Gravity on finite groups
Aug, 199925 pages
Published in:
- Commun.Math.Phys. 218 (2001) 609-632
e-Print:
- gr-qc/9909028 [gr-qc]
Report number:
- DFTT-44-99
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Abstract: (arXiv)
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.Note:
- LaTeX, 26 pages, 1 figure. Corrected misprints and formula giving exterior product of n 1-forms. Added note on topological action Report-no: DFTT-44/99
- gravitation
- group: finite
- operator: differential
- algebra: Hopf
- differential forms
- transformation: diffeomorphism
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