Gravitational fields on a noncommutative space

Details Gravitational fields on a noncommutative space Gravitational fields on a noncommutative space

2001-12-13

arxiv.org/abs/hep-th/0112114v3

Nucl.Phys. B651 (2003) 313-327

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 16 pages, section 2 rewritten for clarity

Scientific paper

10.1016/S0550-3213(02)01061-1

Noncommutative three-dimensional gravity can be described in terms of a
noncommutative Chern-Simons theory. We extend this structure and also propose
an action for gravitational fields on an even dimensional noncommutative space.
The action is worked out in some detail for fields on a noncommutative ${\bf
CP}^2$ and on $S^4$.

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