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- W1888331327 abstract "We study the relationship between Atiyah-Drinfeld-Hitchin-Manin (ADHM) and Nahm constructions and the ``solution generating technique'' of Bogomol'nyi-Prasad-Sommerfield (BPS) solitons in noncommutative gauge theories. ADHM and Nahm constructions and ``solution generating technique'' are the strongest 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 the ``solution generating technique'' naturally appear in ADHM and Nahm constructions 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." @default.
- W1888331327 created "2016-06-24" @default.
- W1888331327 creator A5013123356 @default.
- W1888331327 date "2002-04-04" @default.
- W1888331327 modified "2023-10-01" @default.
- W1888331327 title "Atiyah-Drinfeld-Hitchin-Manin and Nahm constructions of localized solitons in noncommutative gauge theories" @default.
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- W1888331327 doi "https://doi.org/10.1103/physrevd.65.085022" @default.
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