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enolski-ws15

Contact

Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olcryptgkz@uol.dexvqv

Contact

Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olcryptgkz@uol.dexvqv

Coordinators

Prof. Dr. Florian Hess
florianc6.hestozs@uol.nss2de<br /4t>p5hny (floriakunun.n6oxhess@uf3vkol.s8deagadf)Phone: +49 (0) 441 798-2906


Prof. Dr. Andreas Stein
andrea9rns.steifk68pn@uongpl.de<br /sx>5hvy (andreas.steimtzkpn@3huol5kh.de)Phone: +49 (0) 441 798-3232

Talk

Victor Enolski (Kiew)

26.11.2015 - W01 0-012 (Wechloy), 16 Uhr c.t.

Lesser known Nahm Ansatz in algebro-geometric description of monopole fields

Abstract: In the ADHMN-construction (Atiyah-Drinfeld-Hitchin-Manin-Nahm) calculation of the monopole fields- Higgs field and gauges - reduced to solving linear ODE - Weyl equations with "potentials'" are given by the so called Nahm data. Even in the case of charge two, when the Nahm data represent elliptic functions, the analytic expressions for the monopole fields are unknown until now. We overcome the problem using a lesser known Nahm Ansatz (compared to the ADHMN construction), whose implementation leads to a complete description of monopole fields in terms of algebraic functions and incomplete elliptic integrals.

Webtgbumas/gter (internet@uol.de) (Stand: 07.11.2019)