Lost equivalence of nonlinear sigma andCP1models on noncommutative space | Zendy

Hideharu Otsu | Zendy; Toshiro Sato | Zendy; Hitoshi Ikemori | Zendy; S. Kitakado | Zendy

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Lost equivalence of nonlinear sigma andCP¹models on noncommutative space

Author(s) -

Hideharu Otsu,

Toshiro Sato,

Hitoshi Ikemori,

S. Kitakado

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/06/006

Subject(s) - noncommutative geometry , commutative property , equivalence (formal languages) , sigma , space (punctuation) , nonlinear system , sigma model , mathematical physics , mathematics , limit (mathematics) , physics , pure mathematics , quantum mechanics , mathematical analysis , computer science , operating system

We show that the equivalence of nonlinear sigma and $CP^{1}$ models which isvalid on the commutative space is broken on the noncommutative space. Thisconclusion is arrived at through investigation of new BPS solitons that do notexist in the commutative limit.Comment: 17 pages, LaTeX2

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