Self-Duality and the KdV Hierarchy
Ashok Das, C.A.P. Galvao
TL;DR
This paper derives the entire KdV hierarchy and its recursion relations from the self-duality condition on gauge fields in four dimensions, revealing a deep connection between gauge theory and integrable systems.
Contribution
It introduces a novel derivation of the KdV hierarchy directly from self-duality conditions in gauge fields, linking gauge theory with integrable hierarchies.
Findings
Derivation of the KdV hierarchy from self-duality
Recursion relations obtained from gauge field conditions
Establishment of a connection between gauge theory and integrable systems
Abstract
We derive the entire KdV hierarchy as well as the recursion relations from the self-duality condition on gauge fields in four dimensions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.