Instantons, Three Dimensional Gauge Theories and Monopole Moduli Spaces

Abstract

We calculate instanton corrections to three dimensional gauge theories with N=4 and N=8 supersymmetry and SU(n) gauge groups. The N=4 results give new information about the moduli space of n BPS SU(2) monopoles, including the leading order non-pairwise interaction terms. A few comments are made on the relationship of the N=8 results to membrane scattering in matrix theory.

26 pages, Latex, 1 eps. file. Asymptotic metric on monopole moduli space rewritten. Typos corrected

References in corpus (8)

• Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics
• Comments on Higher Derivative Operators in Some SUSY Field Theories
• Instantons, Three-Dimensional Gauge Theory, and the Atiyah-Hitchin Manifold
• Membrane Scattering with M-Momentum Transfer
• Multi-Instantons, Three-Dimensional Gauge Theory, and the Gauss-Bonnet-Chern Theorem
• Semi-classical Quantization in N=4 Supersymmetric Yang-Mills Theory and Duality
• Instantons, Higher-Derivative Terms, and Nonrenormalization Theorems in Supersymmetric Gauge Theories
• Semi-classical decay of monopoles in N=2 gauge theory

Cited by in corpus (16)

• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Mirror Mirror On The Wall: On 2d Black Holes and Liouville Theory
• Dynamics of N=2 Supersymmetric Chern-Simons Theories
• Membrane Instantons and de Sitter Vacua
• Instanton Effects in Three-Dimensional Supersymmetric Gauge Theories with Matter
• The Coulomb Branch of 3d $\mathcal{N}=4$ Theories
• The Infrared Physics of Bad Theories
• A Note on 1/4-BPS States
• Linear perturbations of Hyperkahler metrics
• Fivebrane Instanton Corrections to the Universal Hypermultiplet
• Geometric construction of elliptic integrable systems and N=1^* superpotentials
• Intersecting Branes, Domain Walls and Superpotentials in 3d Gauge Theories
• Coulomb Branches of Star-Shaped Quivers
• Brane Potentials and Moduli Spaces
• Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N
• Polyakov Model in 't Hooft flux background: A quantum mechanical reduction with memory