The Sen conjecture for fundamental monopoles of distinct type

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.

12 pages plain Tex

References in corpus (3)

• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• The Moduli Space Metric for Well Separated BPS Monoples
• The Moduli Space of Many BPS Monopoles for Arbitrary Gauge Groups

Cited by in corpus (37)

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• L^2 cohomology of hyperkähler quotients
• Counting Yang-Mills Dyons with Index Theorems
• Marginal Stability and the Metamorphosis of BPS States
• On S-duality for Non-Simply-Laced Gauge Groups
• Semi-classical Quantization in N=4 Supersymmetric Yang-Mills Theory and Duality
• Quantum Spectrum of Instanton Solitons in Five Dimensional Noncommutative U(N) Theories
• General Low Energy Dynamics of Supersymmetric Monopoles
• Geometric Interpretation of Schwarzschild Instantons
• Kerr-Taub-NUT Spacetime with Maxwell and Dilaton Fields
• Quantisation of Monopoles with Non-abelian Magnetic Charge
• Instantons, Three Dimensional Gauge Theories and Monopole Moduli Spaces
• Rotating Rotated Branes
• On the weak coupling spectrum of N=2 supersymmetric SU(n) gauge theory
• Long Range Forces and Supersymmetric Bound States
• Branes and fluxes in special holonomy manifolds and cascading field theories
• Geometric construction of new Yang-Mills instantons over Taub-NUT space
• The N=1* Theories on R^{1+2} X S^1 with Twisted Boundary Conditions
• S-duality in SU(3) Yang-Mills Theory with Non-abelian Unbroken Gauge Group
• Self-Dual Fields Harbored by a Kerr-Taub-bolt Instanton
• Generalized Dynamics of Two Distict BPS Monopoles
• Low Energy Dynamics of Monopoles in Supersymmetric Yang-Mills Theories with Hypermultiplets
• A Family of N=2 Gauge Theories with Exact S-Duality
• S-duality in Abelian gauge theory revisited
• Classification of 't Hooft instantons over multi-centered gravitational instantons
• Duality and Supersymmetric Monopoles
• Abelian instantons over the Chen-Teo AF geometry
• Clumping and quantum order: Quantum gravitational dynamics of NUT charge
• Hodge cohomology of gravitational instantons
• Massless monopole clouds and electric-magnetic duality