O(d,d) transformations preserve classical integrability
Abstract
In this note, we study the action of O (d , d) transformations on the integrable structure of twodimensional nonlinear 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 nonlocal 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 J bar marginal deformations and TsT transformations of the threesphere with Hflux.
 Publication:

Nuclear Physics B
 Pub Date:
 January 2020
 DOI:
 10.1016/j.nuclphysb.2019.114880
 arXiv:
 arXiv:1907.03759
 Bibcode:
 2020NuPhB.95014880O
 Keywords:

 High Energy Physics  Theory
 EPrint:
 23 pages, references added. Matches Nucl.Phys. version