HYPERKAHLER STRUCTURE OF THE TAUB-NUT METRIC

被引:6
|
作者
Gaeta, G. [1 ]
Rodriguez, M. A. [2 ]
机构
[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
[2] Univ Complutense, Dept Fis Teor 2, E-28040 Madrid, Spain
关键词
Hyperkahler manifolds; Taub-NUT metric; KAHLER GEOMETRY; MODULI SPACES; CONSTRUCTION; INSTANTONS; NEWMAN; UNTI;
D O I
10.1142/S1402925112500143
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Taub-NUT four-dimensional space-time can be obtained from Euclidean eight-dimensional one through a momentum map construction; the HKLR theorem [9] guarantees the hyperkahler structure of R-8 descends to a hyperkahler structure in the Taub-NUT space. Here we present a detailed and fully explicit construction of the hyperkahler structure of a space-time with a Taub-NUT metric.
引用
收藏
页码:226 / 235
页数:10
相关论文
共 49 条
  • [21] Integrability in conformally coupled gravity: Taub-NUT spacetimes and rotating black holes
    Bardoux, Yannis
    Caldarelli, Marco M.
    Charmousis, Christos
    JOURNAL OF HIGH ENERGY PHYSICS, 2014, (05):
  • [22] New Taub-NUT black holes with massive spin-2 hair
    Chen, Yu-Qi
    Liu, Hai-Shan
    SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2025, 68 (02)
  • [23] Charged spherically symmetric Taub-NUT black hole solutions in f (R) gravity
    Nashed, G. G. L.
    Bamba, Kazuharu
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2020, 2020 (04):
  • [24] On the Taub-NUT type hyper-Kahler metrics on the Hilbert schemes of n points on C2
    Hattori, Kota
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2017, 53 : 76 - 96
  • [25] Thermodynamic volumes for AdS-Taub-NUT and AdS-Taub-Bolt
    Johnson, Clifford V.
    CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (23)
  • [26] Rigidity for Multi-Taub-NUT metrics
    Minerbe, Vincent
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2011, 656 : 47 - 58
  • [27] Surface area products for Kerr-Taub-NUT space-time
    Pradhan, Parthapratim
    EPL, 2016, 115 (03)
  • [28] Amplitudes from Coulomb to Kerr-Taub-NUT
    Emond, William T.
    Huang, Yu-tin
    Kol, Uri
    Moynihan, Nathan
    O'Connell, Donal
    JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (05)
  • [29] The Dirac equation in Kerr-Taub-NUT spacetime
    Cebeci, Hakan
    Ozdemir, Nulifer
    CLASSICAL AND QUANTUM GRAVITY, 2013, 30 (17)
  • [30] Infinitely many new families of complete cohomogeneity one G2-manifolds: G2 analogues of the Taub-NUT and Eguchi-Hanson spaces
    Foscolo, Lorenzo
    Haskins, Mark
    Nordstrom, Johannes
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2021, 23 (07) : 2153 - 2220