Brane bending and monopole moduli

Abstract

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. Along the way we uncover and illustrate new dynamical phenomena for the brane systems, including a description of smooth monopole extraction and bubbling from 't Hooft defects.

50 pages, 15 figures; v2: typo corrected

References in corpus (5)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Parameter counting for singular monopoles on R^3
• The 't Hooft-Polyakov Monopole in the Presence of a 't Hooft Operator
• Singular Monopoles via the Nahm Transform

Cited by in corpus (24)

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• On 't Hooft Defects, Monopole Bubbling and Supersymmetric Quantum Mechanics
• Monopole Bubbling via String Theory
• A Note On The Semiclassical Formulation Of BPS States In Four-Dimensional N=2 Theories
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• The M-theory origin of global properties of gauge theories
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• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
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• Simulating Magnetic Monopole-Defect Dynamics