Noncommutative gravity: fuzzy sphere and others

Details Noncommutative gravity: fuzzy sphere and others Noncommutative gravity: fuzzy sphere and others

2002-12-20

arxiv.org/abs/hep-th/0212270v2

Phys.Rev. D68 (2003) 025002

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 13 pages, section on CP^2 added + minor changes

Scientific paper

10.1103/PhysRevD.68.025002

Gravity on noncommutative analogues of compact spaces can give a finite mode
truncation of ordinary commutative gravity. We obtain the actions for gravity
on the noncommutative two-sphere and on the noncommutative ${\bf CP}^2$ in
terms of finite dimensional $(N\times N)$-matrices. The commutative large $N$
limit is also discussed.

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