Bicomplexes and Conservation Laws in Non-Abelian Toda Models
E. P. Gueuvoghlanian
TL;DR
This paper explores the bicomplex structure linked to the Leznov-Saveliev equation in integrable models, deriving conservation laws for a Non-Abelian Conformal Affine Toda model through zero curvature methods.
Contribution
It introduces a bicomplex framework for integrable models and explicitly derives conservation laws for a specific Non-Abelian Toda model.
Findings
Bicomplex structure associated with Leznov-Saveliev equation
Linear problem derived from zero curvature condition
Conservation laws explicitly obtained for the model
Abstract
A bicomplex structure is associated to the Leznov-Saveliev equation of integrable models. The linear problem associated to the zero curvature condition is derived in terms of the bicomplex linear equation. The explicit example of a Non-Abelian Conformal Affine Toda model is discussed in detail and its conservation laws are derived from the zero curvature representation of its equation of motion.
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.