Moduli-Space Dynamics of Noncommutative Abelian Sigma-Model Solitons
arXiv:hep-th/0604219 · doi:10.1088/1126-6708/2006/06/028
Abstract
In the noncommutative (Moyal) plane, we relate exact U(1) sigma-model solitons to generic scalar-field solitons for an infinitely stiff potential. The static k-lump moduli space C^k/S_k features a natural K"ahler metric induced from an embedding Grassmannian. The moduli-space dynamics is blind against adding a WZW-like term to the sigma-model action and thus also applies to the integrable U(1) Ward model. For the latter's two-soliton motion we compare the exact field configurations with their supposed moduli-space approximations. Surprisingly, the two do not match, which questions the adiabatic method for noncommutative solitons.
1+15 pages, 2 figures; v2: reference added, to appear in JHEP
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- Scattering of Noncommutative Waves and Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
- Exact BPS bound for noncommutative baby Skyrmions
- The Noncommutative Ward Metric