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arxiv: hep-th/0212270 · v2 · submitted 2002-12-20 · ✦ hep-th

Noncommutative gravity: fuzzy sphere and others

Yasuhiro Abe , V.P. Nair This is my paper
classification ✦ hep-th
keywords gravitynoncommutativecommutativefiniteactionsanaloguescompactdimensional
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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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  1. Noncommutative Gauge Theories and Gravity

    hep-th 2019-07 unverdicted novelty 2.0

    The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.