Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-09-10
Phys.Rev. D65 (2002) 085022
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, LaTeX, 3 figures; v3: minor changes, references added; v4: references added, version to appear in PRD
Scientific paper
10.1103/PhysRevD.65.085022
We study the relationship between ADHM/Nahm construction and ``solution generating technique'' of BPS solitons in noncommutative gauge theories. ADHM/Nahm construction and ``solution generating technique'' are the most strong ways to construct exact BPS solitons. Localized solitons are the solitons which are generated by the ``solution generating technique.'' The shift operators which play crucial roles in ``solution generating technique'' naturally appear in ADHM/Nahm construction and we can construct various exact localized solitons including new solitons: localized periodic instantons (=localized calorons) and localized doubly-periodic instantons. Nahm construction also gives rise to BPS fluxons straightforwardly from the appropriate input Nahm data which is expected from the D-brane picture of BPS fluxons. We also show that the Fourier-transformed soliton of the localized caloron in the zero-period limit exactly coincides with the BPS fluxon.
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