Lost equivalence of nonlinear sigma and $CP^{1}$ models on noncommutative space

Details Lost equivalence of nonlinear sigma and $CP^{1}$ models on noncommutative space Lost equivalence of nonlinear sigma and $CP^{1}$ models on noncommutative space

2004-04-20

arxiv.org/abs/hep-th/0404140v1

JHEP 0406 (2004) 006

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX2e

Scientific paper

10.1088/1126-6708/2004/06/006

We show that the equivalence of nonlinear sigma and $CP^{1}$ models which is
valid on the commutative space is broken on the noncommutative space. This
conclusion is arrived at through investigation of new BPS solitons that do not
exist in the commutative limit.

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