Numerical Nahm transform for 2-caloron solutions

被引:4
|
作者
Muranaka, Daichi [1 ]
Nakamula, Atsushi [2 ]
Sawado, Nobuyuki [1 ]
Toda, Kouichi [3 ,4 ]
机构
[1] Tokyo Univ Sci, Dept Phys, Chiba 2788510, Japan
[2] Kitasato Univ, Sch Sci, Dept Phys, Sagamihara, Kanagawa 2288555, Japan
[3] Toyama Prefectural Univ, Dept Math Phys, Toyama 9390398, Japan
[4] Keio Univ, Res & Educ Ctr Nat Sci, Kouhoku Ku, Yokohama, Kanagawa 2238521, Japan
关键词
PERIODIC INSTANTONS; MONOPOLES; CONSTRUCTION; SKYRMIONS;
D O I
10.1016/j.physletb.2011.07.073
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A new numerical method for performing the Nahm transform for charge k = 2 caloron is presented. The Weyl equations with boundary impurities are solved directly and the determination of the appropriate basis to the linear system is established. The action densities of the 2-calorons with 10 moduli parameters are shown. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:498 / 503
页数:6
相关论文
共 50 条
  • [1] On Noncommutative Nahm Transform
    Alexander Astashkevich
    Nikita Nekrasov
    Albert Schwarz
    [J]. Communications in Mathematical Physics, 2000, 211 : 167 - 182
  • [2] On noncommutative Nahm transform
    Astashkevich, A
    Nekrasov, N
    Schwarz, A
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 211 (01) : 167 - 182
  • [3] A survey on Nahm transform
    Jardim, M
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2004, 52 (03) : 313 - 327
  • [4] Multi-caloron solutions
    Bruckmann, F
    van Baal, P
    [J]. NUCLEAR PHYSICS B, 2002, 645 (1-2) : 105 - 133
  • [5] Nahm transform for Higgs bundles
    Frejlich, Pedro
    Jardim, Marcos
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2008, 58 (09) : 1221 - 1230
  • [6] Aspects of C3-symmetric calorons from numerical Nahm transform
    Nakamula, Atsushi
    Sawado, Nobuyuki
    Takesue, Koki
    [J]. XXII INTERNATIONAL CONFERENCE ON INTEGRABLE SYSTEMS AND QUANTUM SYMMETRIES (ISQS-22), 2014, 563
  • [7] Nahm transform and parabolic minimal Laplace transform
    Szabo, Szilard
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2012, 62 (11) : 2241 - 2258
  • [8] Singular monopoles via the Nahm transform
    Cherkis, Sergey A.
    Durcan, Brian
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2008, (04):
  • [9] The Large N Limit of the Nahm Transform
    Harland, Derek
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2012, 311 (03) : 689 - 712
  • [10] The Nahm transform of spatially periodic instantons
    Yoshino, Masaki
    [J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2021, 29 (07) : 1691 - 1747