Komaba Lectures on Noncommutative Solitons and D-Branes
Jeffrey A.Harvey
TL;DR
This paper introduces noncommutative geometry and explores how solitons in noncommutative field theory can model D-branes as tachyon field solitons, linking to K-theory classification of D-brane charges.
Contribution
It connects noncommutative soliton solutions with D-branes in string theory and discusses their classification via K-theory, providing a comprehensive overview of the subject.
Findings
Construction of D-branes as noncommutative solitons
Application of K-theory to classify D-brane charges
Link between noncommutative geometry and string theory phenomena
Abstract
These lectures provide an introduction to noncommutative geometry and its origins in quantum mechanics and to the construction of solitons in noncommutative field theory. These ideas are applied to the construction of D-branes as solitons of the tachyon field in noncommutative open string theory. A brief discussion is given of the K-theory classification of D-brane charge in terms of the K-theory of operator algebras. Based on lectures presented at the Komaba 2000 workshop, Nov. 14-16 2000.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Cosmology and Gravitation Theories