Non-commutative geometry and physics: a review of selected recent results

Authors
Castellani, L
Citation
L. Castellani, Non-commutative geometry and physics: a review of selected recent results, CLASS QUANT, 17(17), 2000, pp. 3377-3401
Citations number
89
Categorie Soggetti
Physics
Journal title
CLASSICAL AND QUANTUM GRAVITY
ISSN journal
02649381 → ACNP
Volume
17
Issue
17
Year of publication
2000
Pages
3377 - 3401
Database
ISI
SICI code
0264-9381(20000907)17:17<3377:NGAPAR>2.0.ZU;2-M
Abstract
This review is based on two lectures given at the 2000 TMR school in Torino (TMR school on contemporary String Theory and Brane Physics, 26 January-2 February 2000, Torino, Italy). We discuss two main themes: (a) Moyal-type d eformations of gauge theories, as emerging from M-theory and open string th eories, and (b) the non-commutative geometry of finite groups, with the exp licit example of Z(2), and its application to Kaluza-Klein gauge theories o n discrete internal spaces.