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Noncommutative solitons

Abstract

Though noncommutative field theories have been explored for several years, a resurgence of interest in it was sparked off after it was realised that they arise very naturally as limits of string theory in certain background fields. It became more plausible (at least to string theorists) that these nonlocal deformations of usual quantum field theories are consistent theories in themselves. This led to a detailed exploration of many of their classical and quantum properties. I will elaborate further on the string theory context in the next section. One of the consequences of this exploration was the discovery of novel classical solutions in noncommutative field theories. Since then much work has been done in exploring many of their novel properties. My lectures focussed on some specific aspects of these noncommutative solitons. They primarily reflect the topics that I have worked on and are not intended to be a survey of the large amount of work on this topic. We have tried to give a flavour of the physics that can be captured by the relatively elementary classical solutions of noncommutative field theories. We have seen in different contexts how these solitons are really simple manifestations of D-branes, possessing many of their  More>>
Authors:
Gopakumar, R [1] 
  1. Harish-Chandra Research Institute, Jhusi, Allahabad (India)
Publication Date:
May 15, 2002
Product Type:
Conference
Report Number:
INIS-XA-856; LNS-027006
Resource Relation:
Conference: 2001 spring school on superstrings and related matters, Trieste (Italy), 2-10 Apr 2001; Other Information: 18 refs; Related Information: In: 2001 spring school on superstrings and related matters, ICTP lecture notes CD seriesv. 7, by Bachas, C. [ENS, Paris (France)]; Maldacena, J. [Harvard University, Cambridge (United States)]; Narain, K.S.; Randjbar-Daemi, S. [Abdus Salam International Center for Theoretical Physics, Trieste (Italy)] (eds.), 303 pages.
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMMUTATION RELATIONS; GAUGE INVARIANCE; HALL EFFECT; LECTURES; MAGNETIC FIELDS; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SINGULARITY; SOLITONS; SPACE-TIME; STRING MODELS; TACHYONS; YANG-MILLS THEORY
OSTI ID:
20854857
Research Organizations:
Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ISBN 92-95003-10-1; TRN: XA0600667027877
Availability:
Available from INIS in electronic form; Also available on-line: http://www.ictp.it
Submitting Site:
INIS
Size:
page(s) 273-300
Announcement Date:
Apr 23, 2007

Citation Formats

Gopakumar, R. Noncommutative solitons. IAEA: N. p., 2002. Web.
Gopakumar, R. Noncommutative solitons. IAEA.
Gopakumar, R. 2002. "Noncommutative solitons." IAEA.
@misc{etde_20854857,
title = {Noncommutative solitons}
author = {Gopakumar, R}
abstractNote = {Though noncommutative field theories have been explored for several years, a resurgence of interest in it was sparked off after it was realised that they arise very naturally as limits of string theory in certain background fields. It became more plausible (at least to string theorists) that these nonlocal deformations of usual quantum field theories are consistent theories in themselves. This led to a detailed exploration of many of their classical and quantum properties. I will elaborate further on the string theory context in the next section. One of the consequences of this exploration was the discovery of novel classical solutions in noncommutative field theories. Since then much work has been done in exploring many of their novel properties. My lectures focussed on some specific aspects of these noncommutative solitons. They primarily reflect the topics that I have worked on and are not intended to be a survey of the large amount of work on this topic. We have tried to give a flavour of the physics that can be captured by the relatively elementary classical solutions of noncommutative field theories. We have seen in different contexts how these solitons are really simple manifestations of D-branes, possessing many of their important features. Though they have been primarily studied in the context of tachyon condensation, we saw that they can also shed some light on the resolution of singularities in spacetime by D-brane probes. In addition to other applications in string theory it is important at this stage to explore their presence in other systems with a strong magnetic field like the quantum hall effect.}
place = {IAEA}
year = {2002}
month = {May}
}