Monopoles and Wilson Lines

Abstract

We present a semi-classical description of BPS monopoles interacting with Wilson lines. The Wilson lines are represented as non-Abelian spin impurities. These spins interact with the monopole degrees of freedom through a natural connection on the moduli space. We employ this technology in N = 2 SU(2) gauge theory to count the number of framed BPS states of a single monopole bound to Wilson lines in different representations.

24 pages, 2 figures; v2: added angular momentum decomposition of bound states

References in corpus (7)

• Supersymmetric Wilson loops on S^3
• TASI Lectures on Solitons
• Vortices and Impurities
• Framed BPS States, Moduli Dynamics, and Wall-Crossing
• The 't Hooft-Polyakov Monopole in the Presence of a 't Hooft Operator
• Supersymmetric Defect Models and Mirror Symmetry
• The Dynamics of Chern-Simons Vortices

Cited by in corpus (10)

• Spectral Networks with Spin
• Parameter counting for singular monopoles on R^3
• ADHM Revisited: Instantons and Wilson Lines
• Semiclassical framed BPS states
• A Note On The Semiclassical Formulation Of BPS States In Four-Dimensional N=2 Theories
• Index-Like Theorems from Line Defect Vevs
• Wall Crossing from Dirac Zeromodes
• A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect
• Berry's connection, Kähler geometry and the Nahm construction of monopoles
• Spectral Sequences and Vacua in N = 2 Gauged Linear Quantum Mechanics with Potentials