Construction of Lax Connections by Exponentiation
arXiv:1207.3325 · doi:10.1063/1.4769824
Abstract
We propose a method for constructing the Lax connection of two-dimensional relativistic integrable sigma models on coset spaces by means of exponentiation of a suitable operator. We derive a simple quadratic relation that this operator must satisfy for an entire one-parameter family of connections to be flat.
17 pages