O(d,d) transformations preserve classical integrability

Sekiguchi, Yuta (18 August 2020). O(d,d) transformations preserve classical integrability. PoS - proceedings of science, CORFU2019(107). Trieste, Italy: Scuola Internazionale Superiore di Studi Avanzati SISSA 10.22323/1.376.0107

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In this article we summarize the relation between the classically integrable structure of two- dimensional sigma models and global O(d , d ) transformations. After giving a brief review of the classical integrability and the doubled formalism, we present a recipe for constructing Lax pairs in the O(d , d )-deformed models. The key point in our analysis is to apply the so-called O(d , d )(-duality) map involving winding coordinates. As an example we discuss the O(2, 2) transformation of the SU(2) WZNW model, corresponding to the marginal JJ ̄deformation.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

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

UniBE Contributor:

Sekiguchi, Yuta

Subjects:

500 Science > 530 Physics

ISSN:

1824-8039

Publisher:

Scuola Internazionale Superiore di Studi Avanzati SISSA

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

20 Nov 2020 09:33

Last Modified:

05 Dec 2022 15:42

Publisher DOI:

10.22323/1.376.0107

BORIS DOI:

10.7892/boris.148248

URI:

https://boris.unibe.ch/id/eprint/148248

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