Noncommutative solitons

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschung

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OriginalspracheEnglisch
Titel des SammelwerksRecent Developments in Gravitation and Cosmology - 3rd Mexican Meeting on Mathematical and Experimental Physics
Seiten37-51
Seitenumfang15
PublikationsstatusVeröffentlicht - 2008
Veranstaltung3rd Mexican Meeting on Mathematical and Experimental Physics - Mexico City, Mexiko
Dauer: 10 Sept. 200714 Sept. 2007

Publikationsreihe

NameAIP Conference Proceedings
Band977
ISSN (Print)0094-243X
ISSN (elektronisch)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.

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Noncommutative solitons. / Lechtenfeld, Olaf.
Recent Developments in Gravitation and Cosmology - 3rd Mexican Meeting on Mathematical and Experimental Physics. 2008. S. 37-51 (AIP Conference Proceedings; Band 977).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschung

Lechtenfeld, O 2008, Noncommutative solitons. in Recent Developments in Gravitation and Cosmology - 3rd Mexican Meeting on Mathematical and Experimental Physics. AIP Conference Proceedings, Bd. 977, S. 37-51, 3rd Mexican Meeting on Mathematical and Experimental Physics, Mexico City, Mexiko, 10 Sept. 2007. https://doi.org/10.1063/1.2902796
Lechtenfeld, O. (2008). Noncommutative solitons. In Recent Developments in Gravitation and Cosmology - 3rd Mexican Meeting on Mathematical and Experimental Physics (S. 37-51). (AIP Conference Proceedings; Band 977). https://doi.org/10.1063/1.2902796
Lechtenfeld O. Noncommutative solitons. in Recent Developments in Gravitation and Cosmology - 3rd Mexican Meeting on Mathematical and Experimental Physics. 2008. S. 37-51. (AIP Conference Proceedings). doi: 10.1063/1.2902796
Lechtenfeld, Olaf. / Noncommutative solitons. Recent Developments in Gravitation and Cosmology - 3rd Mexican Meeting on Mathematical and Experimental Physics. 2008. S. 37-51 (AIP Conference Proceedings).
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