On the Energy Spectrum of Yang–Mills Instantons over Asymptotically Locally Flat Spaces

被引：0
|
作者：
Gábor Etesi
机构：
[1] Budapest University of Technology and Economics,Department of Geometry, Mathematical Institute, Faculty of Science
来源：
Communications in Mathematical Physics | 2013年 / 322卷
关键词：
Modulus Space; Vector Bundle; Line Bundle; Mill Theory; Circle Bundle;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we prove that over an asymptotically locally flat (ALF) Riemannian four-manifold the energy of an “admissible” SU(2) Yang–Mills instanton is always integer. This result sharpens the previously known energy identity for such Yang–Mills instantons over ALF geometries. Furthermore we demonstrate that this statement continues to hold for the larger gauge group U(2).
引用
收藏
页码：1 / 17
页数：16
相关论文
共 50 条
  • [1] On the Energy Spectrum of Yang-Mills Instantons over Asymptotically Locally Flat Spaces
    Etesi, Gabor
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2013, 322 (01) : 1 - 17
  • [2] Moduli Spaces of Self-Dual Connections over Asymptotically Locally Flat Gravitational Instantons
    Gábor Etesi
    Marcos Jardim
    [J]. Communications in Mathematical Physics, 2008, 280
  • [3] Moduli spaces of self-dual connections over asymptotically locally flat gravitational instantons
    Etesi, Gabor
    Jardim, Marcos
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 280 (02) : 285 - 313
  • [4] Moduli Spaces of Self-Dual Connections over Asymptotically Locally Flat Gravitational Instantons
    Gábor Etesi
    Marcos Jardim
    [J]. Communications in Mathematical Physics, 2009, 288 : 799 - 800
  • [5] Yang-Mills instantons in an asymptotically locally flat background: Taub-NUT vs. Taub-Bolt
    Radu, E.
    [J]. EPL, 2022, 137 (03)
  • [6] The topology of asymptotically locally flat gravitational instantons
    Etesi, Gabor
    [J]. PHYSICS LETTERS B, 2006, 641 (06) : 461 - 465
  • [7] Instantons and Yang–Mills Flows on Coset Spaces
    Tatiana A. Ivanova
    Olaf Lechtenfeld
    Alexander D. Popov
    Thorsten Rahn
    [J]. Letters in Mathematical Physics, 2009, 89 : 231 - 247
  • [8] Instantons and Yang-Mills Flows on Coset Spaces
    Ivanova, Tatiana A.
    Lechtenfeld, Olaf
    Popov, Alexander D.
    Rahn, Thorsten
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 2009, 89 (03) : 231 - 247
  • [9] On Yang–Mills Instantons over Multi-Centered Gravitational Instantons
    Gábor Etesi
    Tamás Hausel
    [J]. Communications in Mathematical Physics, 2003, 235 : 275 - 288
  • [10] YANG-MILLS INSTANTONS OVER RIEMANN SURFACES
    LLEDO, M
    MARTIN, I
    RESTUCCIA, A
    MENDOZA, A
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 1992, 24 (04) : 275 - 281
12345