SU(N)- and SO(N)-invariant chiral fields:: One- and two-dimensional subspaces

被引:3
|
作者
Matos, T
Nucamendi, U
Wiederhold, P
机构
[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Fis, Mexico City 07000, DF, Mexico
[2] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Ingn Elect, Mexico City 07000, DF, Mexico
关键词
D O I
10.1063/1.532879
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Applying the harmonic map ansatz we find new classes of SU(N) and SO(N) chiral fields. We write the corresponding one- dimensional subgroups of SU(N) and SO(N) chiral fields in terms of one and two harmonic maps and the corresponding two-dimensional subgroups in terms of SU(2) and SO(3) chiral fields. In other words, we reduce the SU(N) and SO( N) chiral equations to harmonic maps in one- and two-dimensional spaces. (C) 1999 American Institute of Physics. [S0022-2488(99)01204-9].
引用
收藏
页码:2500 / 2513
页数:14
相关论文
共 50 条
  • [31] One- and two-dimensional spectral length measurement
    Pinkl, W
    Esslinger, M
    Fercher, AF
    LASERS IN OPHTHALMOLOGY IV, PROCEEDINGS OF, 1996, 2930 : 207 - 215
  • [32] Magnetic transitions in one- and two-dimensional nanostructures
    Suzdalev I.P.
    Maksimov Y.V.
    Kolchenko N.N.
    Novichikhin S.V.
    Imshennik V.K.
    Matveev V.V.
    Shub B.R.
    Eliseev A.A.
    Kharlamova M.A.
    Lukashin A.V.
    Tret'yakov Y.D.
    Smirnov V.M.
    Zemtsova E.A.
    Kirichenko S.O.
    Nanotechnologies in Russia, 2010, 5 (3-4): : 214 - 222
  • [33] TWO-DIMENSIONAL GAUGE-THEORIES WITH DIAGONAL SU(N) COLOR
    STEINHARDT, PJ
    ANNALS OF PHYSICS, 1981, 132 (01) : 18 - 31
  • [34] SOLUBLE TWO-DIMENSIONAL FERMIONIC MODELS WITH BROKEN SU(N) SYMMETRY
    DORIA, MM
    PHYSICS LETTERS B, 1984, 139 (1-2) : 51 - 56
  • [35] LARGE-N TWO-DIMENSIONAL QCD AND CHIRAL SYMMETRY
    LI, M
    PHYSICAL REVIEW D, 1986, 34 (12) : 3888 - 3893
  • [36] Simulation and Measurement of Stray Fields for the Manipulation of Spin Qubits in One- and Two-Dimensional Arrays
    Aldeghi, Michele
    Allenspach, Rolf
    Vervelaki, Andriani
    Jetter, Daniel
    Bagani, Kousik
    Braakman, Floris
    Poggio, Martino
    Salis, Gian
    NANO LETTERS, 2025, 25 (05) : 1838 - 1844
  • [37] Differential Geometry on SU(N): Left and Right Invariant Vector Fields and One-Forms
    Akhtarshenas, Seyed Javad
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (06): : 2903 - 2908
  • [38] Piezoelectric fields in one- and two-dimensional heterostructures fabricated on high-index surfaces
    DeCaro, L
    Tapfer, L
    MICROELECTRONICS JOURNAL, 1995, 26 (08) : 835 - 840
  • [39] 2-DIMENSIONAL SU(N)-X-SU(N) CHIRAL MODELS ON THE LATTICE
    ROSSI, P
    VICARI, E
    PHYSICAL REVIEW D, 1994, 49 (03) : 1621 - 1628
  • [40] External Excitation of Neurons Using Electric and Magnetic Fields in One- and Two-dimensional Cultures
    Stern, Shani
    Rotem, Assaf
    Burnishev, Yuri
    Weinreb, Eyal
    Moses, Elisha
    JOVE-JOURNAL OF VISUALIZED EXPERIMENTS, 2017, (123):