On the geometry of classically integrable two-dimensional non-linear sigma models
classification
✦ hep-th
keywords
modelsnon-linearsigmaequationfoundintegrabilityintegrabletwo-dimensional
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A master equation expressing the classical integrability of two-dimensional non-linear sigma models is found. The geometrical properties of this equation are outlined. In particular, a closer connection between integrability and T-duality transformations is emphasised. Finally, a whole new class of integrable non-linear sigma models is found and all their corresponding Lax pairs depend on a spectral parameter.
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Integrable sigma models with Haantjes structure on ${H_{4}}$ Lie group
Classification of 34 Haantjes structures on h4 Lie algebra yields three new integrable sigma models on H4 via deformation of the chiral model under solved integrability conditions.
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