O(d,d) transformations preserve classical integrability

Orlando, Domenico; Reffert, Susanne; Sekiguchi, Yuta; Yoshida, Kentaroh (2020). O(d,d) transformations preserve classical integrability. Nuclear physics B, 950, p. 114880. Elsevier 10.1016/j.nuclphysb.2019.114880

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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 and TsT transformations of the three-sphere with H-flux.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Orlando, Domenico and Sekiguchi, Yuta

Subjects:

500 Science > 530 Physics

ISSN:

0550-3213

Publisher:

Elsevier

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

04 Feb 2020 15:10

Last Modified:

09 Feb 2020 02:46

Publisher DOI:

10.1016/j.nuclphysb.2019.114880

ArXiv ID:

1907.03759

BORIS DOI:

10.7892/boris.139633

URI:

https://boris.unibe.ch/id/eprint/139633

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