Details
| Original language | English |
|---|---|
| Title of host publication | Recent Developments in Gravitation and Cosmology - 3rd Mexican Meeting on Mathematical and Experimental Physics |
| Pages | 37-51 |
| Number of pages | 15 |
| Publication status | Published - 2008 |
| Event | 3rd Mexican Meeting on Mathematical and Experimental Physics - Mexico City, Mexico Duration: 10 Sept 2007 → 14 Sept 2007 |
Publication series
| Name | AIP Conference Proceedings |
|---|---|
| Volume | 977 |
| ISSN (Print) | 0094-243X |
| ISSN (electronic) | 1551-7616 |
Abstract
Solitonic objects play a central role in gauge and string theory (as, e.g., monopoles, black holes, D-branes, etc.). Certain string backgrounds produce a noncommutative deformation of the low-energy effective field theory, which allows for new types of solitonic solutions. I present the construction, moduli spaces and dynamics of Moyal-deformed solitons, exemplified in the 2+1 dimensional Yang-Mills-Higgs theory and its Bogomolny system, which is gauge-fixed to an integrable chiral sigma model (the Ward model). Noncommutative solitons for various 1+1 dimensional integrable systems (such as sine-Gordon) easily follow by dimensional and algebraic reduction. Supersymmetric extensions exist as well and are related to twistor string theory.
Keywords
- Integrable systems, Noncommutative field theory, Solitons
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
Cite this
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Recent Developments in Gravitation and Cosmology - 3rd Mexican Meeting on Mathematical and Experimental Physics. 2008. p. 37-51 (AIP Conference Proceedings; Vol. 977).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research
}
TY - GEN
T1 - Noncommutative solitons
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008
Y1 - 2008
N2 - Solitonic objects play a central role in gauge and string theory (as, e.g., monopoles, black holes, D-branes, etc.). Certain string backgrounds produce a noncommutative deformation of the low-energy effective field theory, which allows for new types of solitonic solutions. I present the construction, moduli spaces and dynamics of Moyal-deformed solitons, exemplified in the 2+1 dimensional Yang-Mills-Higgs theory and its Bogomolny system, which is gauge-fixed to an integrable chiral sigma model (the Ward model). Noncommutative solitons for various 1+1 dimensional integrable systems (such as sine-Gordon) easily follow by dimensional and algebraic reduction. Supersymmetric extensions exist as well and are related to twistor string theory.
AB - Solitonic objects play a central role in gauge and string theory (as, e.g., monopoles, black holes, D-branes, etc.). Certain string backgrounds produce a noncommutative deformation of the low-energy effective field theory, which allows for new types of solitonic solutions. I present the construction, moduli spaces and dynamics of Moyal-deformed solitons, exemplified in the 2+1 dimensional Yang-Mills-Higgs theory and its Bogomolny system, which is gauge-fixed to an integrable chiral sigma model (the Ward model). Noncommutative solitons for various 1+1 dimensional integrable systems (such as sine-Gordon) easily follow by dimensional and algebraic reduction. Supersymmetric extensions exist as well and are related to twistor string theory.
KW - Integrable systems
KW - Noncommutative field theory
KW - Solitons
UR - http://www.scopus.com/inward/record.url?scp=40849141045&partnerID=8YFLogxK
U2 - 10.1063/1.2902796
DO - 10.1063/1.2902796
M3 - Conference contribution
AN - SCOPUS:40849141045
SN - 9780735404960
T3 - AIP Conference Proceedings
SP - 37
EP - 51
BT - Recent Developments in Gravitation and Cosmology - 3rd Mexican Meeting on Mathematical and Experimental Physics
T2 - 3rd Mexican Meeting on Mathematical and Experimental Physics
Y2 - 10 September 2007 through 14 September 2007
ER -