Biquaternion Construction of SL(2,C) Yang-Mills Instantons

被引：2
|
作者：
Lee, Jen-Chi [1 ]
机构：
[1] Natl Chiao Tung Univ, Dept Electrophys, Hsinchu, Taiwan
来源：
XXIII INTERNATIONAL CONFERENCE ON INTEGRABLE SYSTEMS AND QUANTUM SYMMETRIES (ISQS-23) | 2016年 / 670卷
关键词：
CONFORMAL PROPERTIES;
D O I：
10.1088/1742-6596/670/1/012032
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We use biquaternion to construct SL(2,C) ADHM Yang-Mills instantons. The solutions contain 16k-6 moduli parameters for the kth homotopy class, and include as a subset the SL(2,C) (M,N) instanton solutions constructed previously. In constrast to the SU(2) instantons, the SL(2,C) instantons inhereit jumping lines or singulariries which are not gauge artifacts and can not be gauged away.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] Biquaternions and ADHM construction of non-compact SL(2, C) Yang-Mills instantons
    Lai, Sheng-Hong
    Lee, Jen-Chi
    Tsai, I-Hsun
    [J]. ANNALS OF PHYSICS, 2015, 361 : 14 - 32
  • [2] ADHM construction of super Yang-Mills instantons
    Taniguchi, Tadashi
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2009, 59 (09) : 1199 - 1209
  • [3] Explicit construction of Yang-Mills instantons on ALE spaces
    Bianchi, M
    Fucito, F
    Rossi, G
    Martellini, M
    [J]. NUCLEAR PHYSICS B, 1996, 473 (1-2) : 367 - 404
  • [4] Yang-Mills instantons from gravitational instantons
    Oh, John J.
    Park, Chanyong
    Yang, Hyun Seok
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2011, (04):
  • [5] YANG-MILLS INSTANTONS ON ALE GRAVITATIONAL INSTANTONS
    KRONHEIMER, PB
    NAKAJIMA, H
    [J]. MATHEMATISCHE ANNALEN, 1990, 288 (02) : 263 - 307
  • [6] Yang-Mills instantons from gravitational instantons
    John J. Oh
    Chanyong Park
    Hyun Seok Yang
    [J]. Journal of High Energy Physics, 2011
  • [7] Yang-Mills instantons with Lorentz violation
    Colladay, D
    McDonald, P
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (08) : 3228 - 3238
  • [8] Yang-Mills and D-instantons
    Belitsky, AV
    Vandoren, S
    van Nieuwenhuizen, P
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (17) : 3521 - 3570
  • [9] EINSTEIN MANIFOLDS AS YANG-MILLS INSTANTONS
    Oh, John J.
    Yang, Hyun Seok
    [J]. MODERN PHYSICS LETTERS A, 2013, 28 (21)
  • [10] Instantons and singularities in the Yang-Mills flow
    Waldron, Alex
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 55 (05)
12345