Large scale and large period limits of symmetric calorons

Abstract

We construct SU(2) calorons, with non-trivial 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.

arXiv comment27 pages, 2 figures. Figures, proofs, and references added; typos corrected

References in corpus (8)

• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Monopoles and Instantons on Partially Compactified D-Branes
• Multi-Caloron solutions
• Constituent monopoles through the eyes of fermion zero-modes
• Higher charge calorons with non-trivial holonomy
• Symmetric Calorons
• ADHMN boundary conditions from removing monopoles

Cited by in corpus (11)

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• Multi-Calorons Revisited
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• Skyrmions from calorons
• Magnetically Charged Calorons with Non-Trivial Holonomy
• Cyclic Calorons
• Sigma Model BPS Lumps on Torus
• Aspects of $C_3$-symmetric calorons from numerical Nahm transform
• Symmetric calorons of higher charges and their large period limits
• Topology of Calorons Re-examined