The Sen conjecture for fundamental monopoles of distinct types

1996/03/22 by G. W. Gibbons, G W Gibbons · 3 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #gr-qc #hep-th

paper · pdf · doi:10.1016/0370-2693(96)00525-4

published as Phys.Lett.B382:53-59,1996 · 12 pages plain Tex

arxiv created 1996/03/22 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I exhibit a middle-dimensional square integrable harmonic form on the moduli space of distinct fundamental BPS monopoles of an arbitrary Lie group. This is in accord with Sen's S-duality conjecture. I also show that the moduli space has no closed or bound geodesics.

Citations

• Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space, and SL (2,Z) invariance in string theory

Cited by

• General low energy dynamics of supersymmetric monopoles
• General dynamics of two distinct Bogomol’nyi-Prasad-Sommerfield monopoles
• Branes, instantons, and Taub-NUT spaces