Français
Skyrme fields, multi-instantons and the $SU(\infty )$-Toda equation
Multi angle
Authors : Plansangkate, Prim (Author of the conference)
CIRM (Publisher )
35Q75 - PDEs in connection with relativity and gravitational theory
81T13 - Yang-Mills and other gauge theories
81V17 - Gravitational interaction
35C08 - Soliton solutions of PDE
81Q80 - Special quantum systems, such as solvable systems
CIRM (Publisher )
Loading the player...
|
Abstract :
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
MSC Codes : Keywords : Skyrme fields; instantons; $SU(\infty )$-Toda equation
35Q75 - PDEs in connection with relativity and gravitational theory
81T13 - Yang-Mills and other gauge theories
81V17 - Gravitational interaction
35C08 - Soliton solutions of PDE
81Q80 - Special quantum systems, such as solvable systems
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 27/09/2019 Conference Date : 05/09/2019 Subseries : Research talks arXiv category : High Energy Physics ; General Relativity and Quantum Cosmology ; Nonlinear Sciences Mathematical Area(s) : Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:22:36 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-09-05_Plansangkate.mp4 
|
Information on the Event
Event Title : Twistors and Loops Meeting in Marseille / Théorie des twisteurs et gravitation quantique à bouclesEvent Organizers : Dunajski, Maciej ; Rovelli, Carlo ; Speziale, Simone ; Vidotto, Francesca Dates : 02/09/2019 - 06/09/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2082.html
Citation Data
DOI : 10.24350/CIRM.V.19560303Cite 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 |
See Also
- [Multi angle] The palatial twistor approach to Einstein lambda vacuums / Author of the conference Penrose, Roger.
- [Multi angle] The quantum states and operators of the canonical LQG / Author of the conference Lewandowski, Jerzy.
- [Multi angle] Twist and loop / Author of the conference Rovelli, Carlo.
- [Post-edited] Twistor theory for LQG / Author of the conference Eastwood, Michael.
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
