Skyrme fields, multi-instantons and the $SU(\infty )$-Toda equation

Appears in collection : Twistors and Loops Meeting in Marseille / Théorie des twisteurs et gravitation quantique à boucles

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 $SU(\infty )$-Toda equation.

Information about the video

Date of recording 05/09/2019
Date of publication 27/09/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19560303
Cite this video Plansangkate, Prim (05/09/2019). Skyrme fields, multi-instantons and the $SU(\infty )$-Toda equation. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19560303
URL https://dx.doi.org/10.24350/CIRM.V.19560303

Domain(s)

Bibliography

PLANSANGKATE, Prim. Skyrme fields, multi-instantons and the $SU(\infty )$-Toda equation. Nonlinearity, 2018, vol. 32, no 1, p. 88. - https://arxiv.org/abs/1611.01444