Year: 2003
Type: article
Abstract: 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 ${\mathbf{CP}}^{2}$ in terms of finite dimensional $(N\ifmmode\times\else\texttimes\fi{}N)$ matrices. The commutative large N limit is also discussed.
Authors: Yasuhiro Abe, V. P. Nair
Institution: City College of New York
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2208566933