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Title:
$\mathrm{T}\bar\mathrm{T}$ deformations, integrability and geometry
Speaker:
Abstract:
After an introduction to the $\mathrm{T}\bar\mathrm{T}$ deformation of generic 2D theories, I will prove the classical integrability for the special case of the sin(h)-Gordon model, by displaying its Lax pair. I will briefly recall the relation between integrable models and the geometry of embedded surfaces. The knowledge of the above mentioned Lax pair will allow me to investigate the effects of the $\mathrm{T}\bar\mathrm{T}$ deformation on the embedded surface associated to sine-Gordon model. As it will turn out, this deformation is really just a local change of coordinates. I will show how solutions to the undeformed and deformed model are mapped one in the other by means of this coordinate change. Finally I will generalise this result to a generic 2D bosonic model.
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