O(d,d) transformations preserve classical integrability

Domenico Orlando, Susanne Reffert, Yuta Sekiguchi & Kentaroh Yoshida
In this note, we study the action of O(d, d)transformations on the integrable structure of two-dimensional non-linear sigma models via the doubled formalism. We construct the Lax pairs associated with the O(d, d)-transformed model and find that they are in general non-local because they depend on the winding modes. We conclude that every O(d, d; R)deformation preserves integrability. As an application we compute the Lax pairs for continuous families of deformations, such as J¯Jmarginal deformations...
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