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Construction of Lax Connections by Exponentiation

Mathematical Physics 2012-12-17 v1 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1207.3325,
  title  = {Construction of Lax Connections by Exponentiation},
  author = {Niklas Beisert and Florian Luecker},
  journal= {arXiv preprint arXiv:1207.3325},
  year   = {2012}
}

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17 pages