On non-abelian U-duality of 11D backgrounds

Abstract

In this letter we generalised the procedure of non-abelian T-duality based on a B-shift and a sequence of formal abelian T-dualities in non-isometric directions to 11-dimensional backgrounds. This consists of a C-shift followed by either a formal U-duality transformation or taking a IIB section. We investigate restrictions and applicability of the procedure and find that it can provide supergravity solutions for the SL(5) exceptional Drinfeld algebra only when a spectator field is present, which is consistent with examples known in the literature.

20 pages, 7 figures. V2: added a discussion of restrictions and applicability of the suggested NAUD procedure

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Cited by in corpus (7)

• E${}_{6(6)}$ Exceptional Drinfel'd Algebras
• Non-abelian U-duality at work
• Generalized Dualities and Supergroups
• Fermionic T-duality of DFT
• On 10 dimensional Exceptional Drinfel'd Algebras
• Integrability structures in string theory
• Extended Drinfel'd algebras and non-Abelian duality