$O(d,d)$ transformations preserve classical integrability

  title={\$O(d,d)\$ transformations preserve classical integrability},
  author={Domenico Orlando and Susanne Reffert and Yuta Sekiguchi and Kentaroh Yoshida},
  • Domenico Orlando, Susanne Reffert, +1 author Kentaroh Yoshida
  • Published 2020
  • Physics
  • 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 $O(d,d;\mathbb{R})$ deformation preserves integrability. As an application we compute the Lax pairs for continuous families of deformations, such as $J\bar… CONTINUE READING

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