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 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 J bar marginal deformations and TsT transformations of the three-sphere with H-flux.
- Publication:
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Nuclear Physics B
- Pub Date:
- January 2020
- DOI:
- 10.1016/j.nuclphysb.2019.114880
- arXiv:
- arXiv:1907.03759
- Bibcode:
- 2020NuPhB.95014880O
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 23 pages, references added. Matches Nucl.Phys. version