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.
Highlights
R denotes some representation of the gauge group which, for the purposes of this paper, we take to be SU(N )
We present a semi-classical description of BPS monopoles interacting with Wilson lines
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
Summary
We explain how spin impurities, coupled to bulk gauge fields, can be thought of as Wilson lines. Our goal is to describe the connection between Wilson lines and spin impurities in a pedestrian manner without ever mentioning the words “nilpotent orbit”
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