Noncommutative Solitons

Details Noncommutative Solitons Noncommutative Solitons

2007-10-10

arxiv.org/abs/0710.2074v1

AIPConf.Proc.977:37-51,2008

Physics

High Energy Physics

High Energy Physics - Theory

16 pages; talk given at the Third Mexican Meeting on Mathematical and Experimental Physics at El Colegio Nacional, Mexico City

Scientific paper

10.1063/1.2902796

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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