Non-commutative spaces in physics and mathematics
Daniela Bigatti (K.U. Leuven)
TL;DR
This review introduces non-commutative geometry (NCG) concepts relevant to physics, discusses mathematical foundations, and highlights applications in matrix theory and string physics, aiming to bridge mathematical and physical perspectives.
Contribution
It provides an accessible overview of NCG for physicists and demonstrates its applications in matrix models and string theory contexts.
Findings
Connections between NCG and matrix theory elucidated.
Applications of NCG in string and brane physics discussed.
Mathematical prerequisites for NCG explained.
Abstract
The present review aims both to offer some motivations and mathematical prerequisites for a study of NCG from the viewpoint of a theoretical physicist and to show a few applications to matrix theory and results obtained. Lectures given by the author at the TMR School on contemporary string theory and brane physics, 26 Jan--2 Feb 2000, Torino.
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