Brane bending and monopole moduli

Understand

We study intersecting brane systems that realize a class of singular monopole configurations in four-dimensional Yang-Mills-Higgs theory.

• Singular monopoles are solutions to the Bogomolny equation on R^3 with a prescribed number of singularities corresponding to the insertion of 't Hooft defects.
• We use the brane construction to motivate a recent conjecture on the conditions for which the moduli space of solutions is non-empty.
• We also show how branes provide physical intuition for various aspects of the dimension formula derived in {arXiv:1404.5616}, including the contribution to the dimension from the defects and its invariance under Weyl reflections of the 't Hooft charges.