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Large scale and large period limits of symmetric calorons

2007/04/30 by Derek Harland · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #hep-th

paper · pdf · doi:10.1063/1.2768186

published as J. Math. Phys. 48, 082905 (2007) · 27 pages, 2 figures. Figures, proofs, and references added; typos corrected

openalex publication_date 2007/08/01 · arxiv created 2007/09/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We construct SU(2) calorons, with nontrivial holonomy, instanton charge 2 and magnetic charge 0 or −1; these calorons have two constituent monopoles, with charges (2,2) or (2,1). Our calorons are U(1) symmetric and are constructed via the Nahm transform. They fall into distinct families which can be classified using representation theory. We consider large scale and large period limits of these calorons; in particular, the large scale limit may be a monopole, or a caloron with different topological charges.

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