Scalar Solitons on the Fuzzy Sphere

Details Scalar Solitons on the Fuzzy Sphere Scalar Solitons on the Fuzzy Sphere

2002-06-07

arxiv.org/abs/hep-th/0206060v3

JHEP 0210 (2002) 073

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 2 figures, typo corrected and stylistic changes. v3: reference added

Scientific paper

10.1088/1126-6708/2002/10/073

We study scalar solitons on the fuzzy sphere at arbitrary radius and noncommutativity. We prove that no solitons exist if the radius is below a certain value. Solitons do exist for radii above a critical value which depends on the noncommutativity parameter. We construct a family of soliton solutions which are stable and which converge to solitons on the Moyal plane in an appropriate limit. These solutions are rotationally symmetric about an axis and have no allowed deformations. Solitons that describe multiple lumps on the fuzzy sphere can also be constructed but they are not stable.

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