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arxiv: hep-th/0404140 · v1 · submitted 2004-04-20 · ✦ hep-th

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Lost equivalence of nonlinear sigma and CP¹ models on noncommutative space

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classification ✦ hep-th
keywords spacecommutativeequivalencemodelsnoncommutativenonlinearsigmaarrived
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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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