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arXiv · 1406.5650

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

Atsushi Nakamula·Nobuyuki Sawado·Koki Takesue
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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.

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Atsushi Nakamula, Nobuyuki Sawado, Koki Takesue. 2014-06-21. Aspects of $C_3$-symmetric calorons from numerical Nahm transform. https://doi.org/10.1088/1742-6596/563/1/012032

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