Complete Supersymmetric Quantum Mechanics of Magnetic Monopoles in N=4 SYM Theory

Abstract

We find the most general low energy dynamics of 1/2 BPS monopoles in the N=4 supersymmetric Yang-Mills theories (SYM) when all six adjoint Higgs expectation values are turned on. When only one Higgs is turned on, the Lagrangian is purely kinetic. When all six are turned on, however, this moduli space dynamics is augmented by five independent potential terms, each in the form of half the squared norm of a Killing vector field on the moduli space. A generic stationary configuration of the monopoles can be interpreted as stable non BPS dyons, previously found as non-planar string webs connecting D3-branes. The supersymmetric extension is also found explicitly, and gives the complete quantum mechanics of monopoles in N=4 SYM theory. We explore its supersymmetry algebra.

Errors in the SUSY algebra corrected. The version to appear in PRD

References in corpus (6)

• Low Energy Dynamics for 1/4 BPS Dyons
• Quantum 1/4 BPS Dyons
• Comments on the Moduli Dynamics of 1/4 BPS Dyons
• Non-BPS String Junctions and Dyons in N=4 Super-Yang-Mills
• Nahm Data and the Mass of 1/4-BPS States
• Non-BPS Dirac-Born-Infeld Solitons

Cited by in corpus (25)

• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Multi-Domain Walls in Massive Supersymmetric Sigma-Models
• ABC of N=8, d=1 supermultiplets
• Supersymmetric Intersecting Domain Walls in Massive Hyper-Kahler Sigma Models
• Counting Yang-Mills Dyons with Index Theorems
• Hierarchy of N=8 Mechanics Models
• N=8 superconformal mechanics
• A note on N=4 supersymmetric mechanics on Kähler manifolds
• Framed BPS States, Moduli Dynamics, and Wall-Crossing
• No entropy enigmas for N=4 dyons
• General Low Energy Dynamics of Supersymmetric Monopoles
• N=8 supersymmetric mechanics on special Kähler manifolds
• Multi-center MICZ-Kepler system, supersymmetry and integrability
• Motion on moduli spaces with potentials
• New BPS Objects in N=2 Supersymmetric Gauge Theories
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
• Long Range Forces and Supersymmetric Bound States
• Degeneracy of Decadent Dyons
• On the Spatial Structure of Monopoles
• DLCQ of Fivebranes, Large N Screening, and L^2 Harmonic Forms on Calabi Manifolds
• 1/4 BPS Dyonic Calorons
• Generalized Dynamics of Two Distict BPS Monopoles
• Low Energy Dynamics of Monopoles in Supersymmetric Yang-Mills Theories with Hypermultiplets
• Zero-Mode Dynamics of String Webs
• One dyonic instanton in 5d maximal SYM theory