Noncommutative geometry and physics: A Review of selected recent results

This review is based on two lectures given at the 2000 TMR school in Torino. We discuss two main themes: i) Moyal-type deformations of gauge theories, as emerging from M-theory and open string theories, and ii) the noncommutative geometry of finite groups, with the explicit example of Z_2, and its application to Kaluza-Klein gauge theories on discrete internal spaces.

Note:

Based on lectures given at the TMR School on contemporary string theory and brane physics, Jan 26- Feb 2, 2000, Torino, Italy. To be published in Class. Quant. Grav. 17 (2000). 3 ref.s added, typos corrected, formula on exterior product of n left-invariant one-forms corrected, small changes in the Sect. on integration Report-no: DFTT-20/2000

lectures: Torino 2000/01/26
M-theory
string: open
gauge field theory: Yang-Mills
Kaluza-Klein model
quantization: deformation
group: finite
differential forms
differential geometry: noncommutative
bibliography

References(60)

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