Periodic instantons with non-trivial holonomy

  title={Periodic instantons with non-trivial holonomy},
  author={Thomas C. Kraan and Pierre van Baa},
We present the detailed derivation of the charge one periodic instantons or calorons with non-trivial holonomy for SU(2). We use a suitable combination of the Nahm transformation and ADHM techniques. Our results rely on our ability to compute explicitly the relevant Green’s function in terms of which the solution can be conveniently expressed. We also discuss the properties of the moduli space, IR × S× Taub-NUT/Z2 and its metric, relating the holonomy to the Taub-NUT mass parameter. We comment… CONTINUE READING
Highly Cited
This paper has 61 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 23 references

The Geometry of Four-Manifolds

  • S. K. Donaldson, P. B. Kronheimer
  • 1990
Highly Influential
8 Excerpts

Self-dual monopoles and calorons

  • W. Nahm
  • in: Lect. Notes in Physics. 201, eds. G. Denardo…
  • 1984
Highly Influential
6 Excerpts

The Geometry and Dynamics of Magnetic Monopoles

  • M. F. Atiyah, N. J. Hitchin
  • 1988
Highly Influential
20 Excerpts


  • C. H. Taubes
  • Di . Geom. 19
  • 1984
Highly Influential
11 Excerpts

Morse theory and monopoles: topology in long range forces

  • C. Taubes
  • in: Progress in gauge eld theory, eds. G. 't…
  • 1984
Highly Influential
13 Excerpts


  • M. F. Atiyah, N. J. Hitchin, V. G. Drinfeld
  • I. Manin, Phys. Lett. 65 A
  • 1978
Highly Influential
4 Excerpts

Nahm's transformation and instantons on R3 S1, poster presented at the 2nd DRSTP symposium, Dalfsen

  • T. C. Kraan
  • The Netherlands,
  • 1997
1 Excerpt

Similar Papers

Loading similar papers…