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H 1 Skyrme fields, multi-instantons and the $SU(\infty )$-Toda equation

Auteurs : Plansangkate, Prim (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : 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.

    Keywords : Skyrme fields ; instantons ; $SU(\infty )$-Toda equation

    Codes MSC :
    35Q75 - PDEs in connection with relativity and gravitational theory
    81T13 - Yang-Mills and other gauge theories
    81V17 - Gravitational interaction
    35C08 - Soliton solutions of PDE

    Informations sur la rencontre

    Nom de la rencontre : Twistors and Loops Meeting in Marseille / Théorie des twisteurs et gravitation quantique à boucles
    Organisateurs de la rencontre : Dunajski, Maciej ; Rovelli, Carlo ; Speziale, Simone ; Vidotto, Francesca
    Dates : 02/09/2019 - 06/09/2019
    Année de la rencontre : 2019
    URL Congrès : https://conferences.cirm-math.fr/2082.html

    Citation Data

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

    Voir aussi


    1. 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