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Construction of Lax Connections by Exponentiation

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arxiv 1207.3325 v1 pith:Q2VJYKSM submitted 2012-07-13 math-ph hep-thmath.MP

classification math-phhep-thmath.MP
keywords connectionsexponentiationoperatorconnectionconstructingconstructioncosetderive
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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.

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  1. Gauge Theory And Integrability, III

    hep-th 2019-08 accept novelty 8.0 of 10

    A four-dimensional Chern-Simons gauge theory with surface defects systematically engineers two-dimensional integrable field theories with Lax operators.

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