2025/09/22 by Kazuyuki Furuuchi, Furuuchi, Kazuyuki, Pathak, Moreshwar
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.2509.17779
openalex publication_date 2025/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a variety of bound states of Dirac magnetic monopoles in product U(1) gauge theories that make up a Dirac magnetic monopole with unit magnetic charge under the unbroken U(1) gauge group. The size of the bound states is determined by the balance between the repulsive magnetic Coulomb force of the unbroken U(1) gauge group and the attractive force from the tension of the magnetic flux tubes of the broken U(1) gauge groups. These bound states are extensions of the configuration first studied in arXiv:1608.06951. We dub this type of configurations ``Magnetic Monopole Molecules'' (MMMs). Besides some illustrative examples of MMMs made of a small number of constituent Dirac magnetic monopoles, a method to combine smaller MMMs to construct larger MMMs is presented. Implications for the weak gravity conjecture are also discussed.