Monopoles and Wilson lines

2014/01/31 by David Tong, Kenny Wong, K. W. Wong
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Condensed matter physics #Connection (principal bundle) #Degrees of freedom (physics and chemistry) #Gauge theory #Geometry #Magnetic monopole #Mathematical physics #Mathematics #Moduli space #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spin (aerodynamics) #Spins #Theoretical physics #Wilson loop #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/jhep06(2014)048

published as JHEP 1406:048, (2014) · 24 pages, 2 figures; v2: added angular momentum decomposition of bound states

arxiv created 2014/05/19 · openalex publication_date 2014/06/01 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Magnetic Monopoles, Duality, and Supersymmetry
• The Geometry and Dynamics of Magnetic Monopoles
• Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space, and SL (2,Z) invariance in string theory
• Magnetic monopoles in unified gauge theories
• The 't Hooft–Polyakov monopole in the presence of a 't Hooft operator
• Framed BPS states, moduli dynamics, and wall-crossing
• TASI Lectures on Solitons