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Noncommutative geometry and physics: a review of selected recent results

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arxiv hep-th/0005210 v2 pith:VF57BQW4 submitted 2000-05-23 hep-th

Noncommutative geometry and physics: a review of selected recent results

classification hep-th
keywords theoriesgaugegeometrynoncommutativereviewapplicationdeformationsdiscrete
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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