Nahm gauge fields for the torus

1998/11/12 by Pierre van Baal
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #hep-lat #hep-th

paper · pdf · doi:10.1016/s0370-2693(99)00024-6

published as Phys.Lett. B448 (1999) 26-32 · 9 pages, latex

arxiv created 1998/11/12 · openalex publication_date 1999/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the exact expression for the Nahm gauge field associated to a SU(N) charge one self-dual gauge field on T³XR. The result implies that the size of the instanton is determined by the ``distance'' between its two flat connections at t plus or minus infinty.

Citations

• Construction of instantons
• Gauge bundles and Born-Infeld on the non-commutative torus
• Instanton moduli for T3 × ℝ
• Classical Electrodynamics