Noncommutative Bundles and Instantons in Tehran

Details Noncommutative Bundles and Instantons in Tehran Noncommutative Bundles and Instantons in Tehran

2006-03-07

arxiv.org/abs/hep-th/0603053v2

Physics

High Energy Physics

High Energy Physics - Theory

64 pages; v2: major changes, parts rewritten, references added. Based on lectures delivered by GL at the ``International Works

Scientific paper

We present an introduction to the use of noncommutative geometry for gauge theories with emphasis on a construction of instantons for a class of four dimensional toric noncommutative manifolds. These instantons are solutions of self-duality equations and are critical points of an action functional. We explain the crucial role of twisted symmetries as well as methods from noncommutative index theorems.

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