Seiberg-Witten monopole equations on noncommutative ℝ4

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Alexander D. Popov
  • Armen G. Sergeev
  • Martin Wolf

Organisationseinheiten

Externe Organisationen

  • Joint Institute for Nuclear Research (JINR)
  • St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences
  • Technische Universität Dresden
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Details

OriginalspracheEnglisch
Seiten (von - bis)4527-4554
Seitenumfang28
FachzeitschriftJournal of mathematical physics
Jahrgang44
Ausgabenummer10
PublikationsstatusVeröffentlicht - 1 Okt. 2003

Abstract

It is well known that, due to vanishing theorems, there are no nontrivial finite action solutions to the Abelian Seiberg - Witten (SW) monopole equations on Euclidean four-dimensional space ℝ4. We show that this is no longer true for the noncommutative version of these equations, i.e., on a noncommutative deformation ℝθ4 of ℝ 4 there exist smooth solutions to the SW equations having nonzero topological charge. We introduce action functionals for the noncommutative SW equations and construct explicit regular solutions, All our solutions have finite energy. We also suggest a possible interpretation of the obtained solutions as codimension four vortex-like solitons representing D (p - 4)- and D(p - 4)-branes in a Dp-Dp brane system in type II superstring theory.

ASJC Scopus Sachgebiete

Zitieren

Seiberg-Witten monopole equations on noncommutative ℝ4. / Popov, Alexander D.; Sergeev, Armen G.; Wolf, Martin.
in: Journal of mathematical physics, Jahrgang 44, Nr. 10, 01.10.2003, S. 4527-4554.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Popov AD, Sergeev AG, Wolf M. Seiberg-Witten monopole equations on noncommutative ℝ4. Journal of mathematical physics. 2003 Okt 1;44(10):4527-4554. doi: 10.1063/1.1604454
Popov, Alexander D. ; Sergeev, Armen G. ; Wolf, Martin. / Seiberg-Witten monopole equations on noncommutative ℝ4. in: Journal of mathematical physics. 2003 ; Jahrgang 44, Nr. 10. S. 4527-4554.
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