TL;DR
This paper explores the mathematical structure of gauge fields on the fuzzy sphere by computing the cohomology of a non-commutative complex, advancing understanding of noncommutative geometry in gauge theories.
Contribution
It introduces a method to compute the cohomology of a non-commutative complex relevant to gauge fields on the fuzzy sphere, providing new insights into noncommutative geometry.
Findings
Computed the cohomology of a non-commutative complex on the fuzzy sphere
Established a link between noncommutative geometry and gauge field theory
Enhanced mathematical tools for studying noncommutative spaces
Abstract
I compute the cohomology of a non-commutative complex underlying the notion of the gauge field on the fuzzy sphere.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Advanced Differential Geometry Research