General Low Energy Dynamics of Supersymmetric Monopoles

Abstract

We derive general low energy dynamics of monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories by utilising a collective coordinate expansion. The resulting new kind of supersymmetric quantum mechanics incorporates the effects of multiple Higgs fields, both in the N=2 vector multiplet and hypermultiplets, having non-vanishing expectation values.

LaTeX, 36pages, typos fixed

References in corpus (29)

• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• Three-Pronged Strings and 1/4 BPS States in N=4 Super-Yang-Mills Theory
• The Moduli Space of Many BPS Monopoles for Arbitrary Gauge Groups
• Dyons in N=4 Supersymmetric Theories and Three-Pronged Strings
• Low Energy Dynamics of N=2 Supersymmetric Monopoles
• String Webs and 1/4 BPS Monopoles
• Dyons and S-Duality in N=4 Supersymmetric Gauge Theory
• Monopole and Dyon Bound States in N=2 Supersymmetric Yang-Mills Theories
• Electromagnetic Duality and $SU(3)$ Monopoles
• S-Duality and the Dyon Spectrum in N=2 Super Yang-Mills Theory
• 3-String Junction and BPS Saturated Solutions in SU(3) Supersymmetric Yang-Mills Theory
• Monopole Dynamics and BPS Dyons N=2 Super-Yang-Mills Theories
• Counting Yang-Mills Dyons with Index Theorems
• Supersymmetric Quantum Mechanics of Monopoles in N=4 Yang-Mills Theory
• The Sen conjecture for fundamental monopoles of distinct type
• Low Energy Dynamics for 1/4 BPS Dyons
• Potentials for (p,0) and (1,1) supersymmetric sigma models with torsion
• String Network and 1/4 BPS States in N=4 SU(n) Supersymmetric Yang-Mills Theory
• Semi-classical Quantization in N=4 Supersymmetric Yang-Mills Theory and Duality
• Quantum 1/4 BPS Dyons
• A Note on 1/4-BPS States
• Multi-Pronged Strings and BPS Saturated Solutions in SU(N) Supersymmetric Yang-Mills Theory
• String Theory and the Donaldson Polynomial
• Complete Supersymmetric Quantum Mechanics of Magnetic Monopoles in N=4 SYM Theory
• Moduli Space Dimensions of Multi-Pronged Strings
• Discontinuous BPS spectra in $N=2$ gauge theory
• Comments on the Moduli Dynamics of 1/4 BPS Dyons
• Low Energy Dynamics of Monopoles in N=2 SYM with Matter
• A Family of N=2 Gauge Theories with Exact S-Duality

Cited by in corpus (26)

• TASI Lectures on Solitons
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• N=4 Supersymmetric Mechanics in Harmonic Superspace
• Multi-Domain Walls in Massive Supersymmetric Sigma-Models
• A note on N=4 supersymmetric mechanics on Kähler manifolds
• Framed BPS States, Moduli Dynamics, and Wall-Crossing
• Ab Initio Wall-Crossing
• N=8 supersymmetric mechanics on special Kähler manifolds
• String Webs from Field Theory
• Semiclassical framed BPS states
• Motion on moduli spaces with potentials
• Instantons of M(atrix) Theory in PP-Wave Background
• 5D BPS Quivers and KK Towers
• Long Range Forces and Supersymmetric Bound States
• A Note On The Semiclassical Formulation Of BPS States In Four-Dimensional N=2 Theories
• DLCQ of Fivebranes, Large N Screening, and L^2 Harmonic Forms on Calabi Manifolds
• A Comment on the chi_y Genus and Supersymmetric Quantum Mechanics
• Low Energy Dynamics of Monopoles in Supersymmetric Yang-Mills Theories with Hypermultiplets
• Generic N=4 supersymmetric hyper-Kähler sigma models in D=1
• Wall Crossing from Dirac Zeromodes
• Index-like Theorem for Massless Fermions in Spherically Symmetric Monopole Backgrounds
• Supersymmetric sigma models, gauge theories and vortices
• On the Moduli Space of SU(3) Seiberg-Witten Theory with Matter
• Dynamics of the spinning particle in one dimension
• Constructive Wall-Crossing and Seiberg-Witten
• Simulating Magnetic Monopole-Defect Dynamics