Prim Plansangkate: Skyrme fields, multi-instantons and the SU(∞)-Toda equation

We construct Skyrme fields from holonomy of the spin connection of multi-Taub-NUT instantons with the centres positioned along a line in R3. The domain of our Skyrme fields is the space of orbits of the axial symmetry of the multi-Taub-NUT instantons. We obtain an expression for the induced Einstein-Weyl metric on the space and its associated solution to the SU(∞)-Toda equation.

Recording during the meeting "Twistors and Loops Meeting in Marseille" the September 05, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France)

Filmmaker: Guillaume Hennenfent

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