Aspects of $C_3$-symmetric calorons from numerical Nahm transform

Abstract

Calorons are finite action solutions to the anti-selfdual Yang-Mills equations on ${\mathbb{R}}^3\times S^1$. They are generally constructed by the so called Nahm construction. We perform the numerical Nahm transform for the Nahm data of 3-calorons with $C_3$-symmetry, which do not have the monopole limits. Dissimilar to the cases of having monopole limits, we can trace the zero-circumference limit of $S^1$.It is found that the action density of the calorons tends to fade away as $S^1$ shrinks.

arXiv comment7 pages, 3 figures

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Cited by in corpus (2)

• Symmetric calorons and the rotation map
• Symmetric calorons of higher charges and their large period limits