Low-energy scattering of non-Abelian magnetic monopoles

DOI10.1098/rsta.1985.0052zbMath0577.58035OpenAlexW2010910764MaRDI QIDQ3697949

Michael F. Atiyah, Nigel J. Hitchin

Publication date: 1985

Published in: Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1985.0052

zbMATH Keywords

conservation lawsgeodesic flowmonopolesBogomolny equationsequilibrium positionshyperkähler structures

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of PDEs on manifolds (58J90) Geodesics in global differential geometry (53C22) Quantum scattering theory (81U99)

Related Items (14)

Global existence of time-dependent Yang-Mills-Higgs monopoles ⋮ THE DEFINITION OF NEVEU–SCHWARZ SUPERCONFORMAL FIELDS AND UNCHARGED SUPERCONFORMAL TRANSFORMATIONS ⋮ Scattering amplitudes and \(N\)-body post-Minkowskian Hamiltonians in general relativity and beyond ⋮ Existence theorems for 90° vortex–vortex scattering ⋮ Heterotic hyper-Kähler flux backgrounds ⋮ Moduli space of SU(2) monopoles and complex cyclic-Toda hierarchy ⋮ Nonlinear wave motion in a strong potential ⋮ Instanton moduli as a novel map from tori to K3-surfaces ⋮ Beyond twisted tori ⋮ M-theoretic derivations of 4d-2d dualities: from a geometric Langlands duality for surfaces, to the AGT correspondence, to integrable systems ⋮ Classical monopoles: Newton, NUT space, gravomagnetic lensing, and atomic spectra ⋮ Generalisations of the LaplaceRungeLenz Vector ⋮ Remarks on the moduli space of SU(2) monopoles and Toda flow ⋮ Moduli space of many BPS monopoles for arbitrary gauge groups

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