Noncommutative Solitons
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.
Cite
@article{arxiv.0710.2074,
title = {Noncommutative Solitons},
author = {Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:0710.2074},
year = {2008}
}
Comments
16 pages; talk given at the Third Mexican Meeting on Mathematical and Experimental Physics at El Colegio Nacional, Mexico City, 10-14 September 2007