D-Branes in noncommutative field theory

Richard J. Szabo

doi:10.1142/9789812814333_0008

D-Branes in noncommutative field theory

Richard J. Szabo^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter

2 Citations (Scopus)

Abstract

A mathematical introduction to the classical solutions of noncommutative field theory is presented, with emphasis on how they may be understood as states of D-branes in Type II superstring theory. Both scalar field theory and gauge theory on Moyal spaces are extensively studied. Instantons in Yang-Mills theory on the two-dimensional noncommutative torus and the fuzzy sphere are also constructed. In some instances the connection to Dbrane physics is provided by a mapping of noncommutative solitons into K-homology.

Original language	English
Title of host publication	An Invitation to Noncommutative Geometry
Publisher	World Scientific Publishing
Pages	447-506
Number of pages	60
ISBN (Electronic)	9789814475624
ISBN (Print)	9789812707796, 9789812706164
DOIs	https://doi.org/10.1142/9789812814333_0008
Publication status	Published - 2008

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

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abstract = "A mathematical introduction to the classical solutions of noncommutative field theory is presented, with emphasis on how they may be understood as states of D-branes in Type II superstring theory. Both scalar field theory and gauge theory on Moyal spaces are extensively studied. Instantons in Yang-Mills theory on the two-dimensional noncommutative torus and the fuzzy sphere are also constructed. In some instances the connection to Dbrane physics is provided by a mapping of noncommutative solitons into K-homology.",

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AB - A mathematical introduction to the classical solutions of noncommutative field theory is presented, with emphasis on how they may be understood as states of D-branes in Type II superstring theory. Both scalar field theory and gauge theory on Moyal spaces are extensively studied. Instantons in Yang-Mills theory on the two-dimensional noncommutative torus and the fuzzy sphere are also constructed. In some instances the connection to Dbrane physics is provided by a mapping of noncommutative solitons into K-homology.

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DO - 10.1142/9789812814333_0008

M3 - Chapter

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BT - An Invitation to Noncommutative Geometry

PB - World Scientific Publishing

ER -

D-Branes in noncommutative field theory

Abstract

ASJC Scopus subject areas

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