Magnetic Monopoles over Topologically Nontrivial Riemann Surfaces

被引：0
|
作者：
I. MARTIN
A. RESTUCCIA
机构：
[1] Universidad Simón Bolívar,Departamento de Física
来源：
Letters in Mathematical Physics | 1997年 / 39卷
关键词：
monopoles; Seiberg-Witten equations; Riemann surfaces.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An explicit canonical construction of monopole connections on nontrivial U(1) bundles over Riemann surfaces of any genus is given. The class of monopole solutions depends on the conformal class of the given Riemann surface and a set of integer weights. The reduction of Seiberg--Witten 4-monopole equations to Riemann surfaces is performed. It is then shown that the monopole connections constructed are solutions to these equations.
引用
收藏
页码：379 / 391
页数：12
相关论文
共 50 条
  • [21] A HARMONIC SUM OVER NONTRIVIAL ZEROS OF THE RIEMANN ZETA-FUNCTION
    Brent, Richard P.
    Platt, David J.
    Trudgian, Timothy S.
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021, 104 (01) : 59 - 65
  • [22] Stable parabolic bundles over elliptic surfaces and over Riemann surfaces
    Gantz, C
    Steer, B
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2000, 43 (02): : 174 - 182
  • [23] Riemann surfaces defined over the reals
    Eslam Badr
    Rubén A. Hidalgo
    Saúl Quispe
    Archiv der Mathematik, 2018, 110 : 351 - 362
  • [24] RIEMANN SURFACES OVER REGULAR MAPS
    WILSON, SE
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (05): : A523 - A523
  • [25] RIEMANN SURFACES OVER REGULAR MAPS
    WILSON, SE
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1978, 30 (04): : 763 - 782
  • [26] The Anomaly Flow over Riemann Surfaces
    Fei, Teng
    Huang, Zhijie
    Picard, Sebastien
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (03) : 2134 - 2165
  • [27] Riemann surfaces defined over the reals
    Badr, Eslam
    Hidalgo, Ruben A.
    Quispe, Saul
    ARCHIV DER MATHEMATIK, 2018, 110 (04) : 351 - 362
  • [28] Minimal surfaces in circle bundles over Riemann surfaces
    Chacon, Pablo M.
    Johnson, David L.
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2011, 43 : 33 - 43
  • [29] Dynamics of a SQUID with topologically nontrivial barriers
    Rahmonova, I. R.
    Shukrinov, Yu. M.
    Dawood, R.
    JETP LETTERS, 2016, 103 (06) : 395 - 398
  • [30] Fermionic currents in topologically nontrivial braneworlds
    Bellucci, S.
    Saharian, A. A.
    Simonyan, D. H.
    Vardanyan, V. V.
    PHYSICAL REVIEW D, 2018, 98 (08):
12345