O(d,d)-Duality in String Theory

Abstract

A new method for obtaining dual string theory backgrounds is presented. Preservation of the Hamiltonian density and the energy momentum tensor induced by O(d,d)-transformations leads to a relation between dual sets of coordinate one-forms accompanied by a redefinition of the background fields and a shift of the dilaton. The necessity of isometric directions arises as integrability condition for this map. The isometry algebra is studied in detail using generalised geometry. In particular, non-abelian dualities and beta-transformations are contained in this approach. The latter are exemplified by the construction of a new approximate non-geometric background.

19+5 pages; v2: minor corrections and references added; v3: comments and references added

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Cited by in corpus (6)

• Generalised fluxes, Yang-Baxter deformations and the O(d,d) structure of non-abelian T-duality
• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• Local $\beta$-deformations and Yang-Baxter sigma model
• Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
• $O(d,d)$ transformations preserve classical integrability
• Towards a world-sheet description of doubled geometry in string theory