Noncommutative Bundles and Instantons in Tehran
Giovanni Landi, Walter van Suijlekom
TL;DR
This paper introduces noncommutative geometry techniques to construct instantons on four-dimensional toric noncommutative manifolds, highlighting twisted symmetries and index theorems in gauge theories.
Contribution
It provides a novel method for constructing instantons in noncommutative gauge theories on toric manifolds, advancing the understanding of noncommutative instantons.
Findings
Construction of instantons as solutions to self-duality equations.
Application of noncommutative index theorems to gauge theories.
Emphasis on twisted symmetries in noncommutative geometry.
Abstract
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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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Advanced Operator Algebra Research