Construction of Lax Connections by Exponentiation

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

References in corpus (1)

• Non-local charges, Zm gradings and coset space actions

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