Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-11-19
JHEP 0212 (2002) 073
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 4 figures, LaTeX (JHEP3), Minor changes, Discussion expanded and references added
Scientific paper
10.1088/1126-6708/2002/12/073
We review the derivation of a noncommutative version of the nonlinear sigma model on $\CPn$ and it's soliton solutions for finite $\theta$ emphasizing the similarities it bears to the GMS scalar field theory. It is also shown that unlike the scalar theory, some care needs to be taken in defining the topological charge of BPS solitons of the theory due to nonvanishing surface terms in the energy functional. Finally it is shown that, like its commutative analogue, the noncommutative $\CPn$-model also exhibits a non-BPS sector. Unlike the commutative case however, there are some surprises in the noncommutative case that merit further study.
Adams Rory
Murugan Jeff
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