### ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge TheoriesADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories

Access Restriction
Open

 Author Hamanaka, Masashi Source arXiv.org Content type Text File Format PDF Date of Submission 2001-09-10 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics Subject Keyword High Energy Physics - Theory ♦ Mathematical Physics ♦ Nonlinear Sciences - Exactly Solvable and Integrable Systems ♦ math ♦ nlin ♦ physics:hep-th ♦ physics:math-ph Abstract 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. Description Reference: Phys.Rev. D65 (2002) 085022 Educational Use Research Learning Resource Type Article Page Count 30