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

1 Citation (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

Access to Document

10.1142/9789812814333_0008

Cite this

@inbook{bc78e99686f7479191b6a420568f189c,

title = "D-Branes in noncommutative field theory",

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.",

author = "Szabo, {Richard J.}",

year = "2008",

doi = "10.1142/9789812814333_0008",

language = "English",

isbn = "9789812707796",

pages = "447--506",

booktitle = "An Invitation to Noncommutative Geometry",

publisher = "World Scientific Publishing",

}

TY - CHAP

T1 - D-Branes in noncommutative field theory

AU - Szabo, Richard J.

PY - 2008

Y1 - 2008

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84969640896&partnerID=8YFLogxK

U2 - 10.1142/9789812814333_0008

DO - 10.1142/9789812814333_0008

M3 - Chapter

AN - SCOPUS:84969640896

SN - 9789812707796

SN - 9789812706164

SP - 447

EP - 506

BT - An Invitation to Noncommutative Geometry

PB - World Scientific Publishing

ER -

D-Branes in noncommutative field theory

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this