Connecting M-theory and type IIB parameterizations in Exceptional Field Theory

Abstract

In the exceptional field theory, there are two natural parameterizations for the generalized metric; in terms of bosonic fields in the eleven-dimensional supergravity (M-theory parameterization) and the type IIB supergravity (type IIB parameterization). In order to translate various results known in the M-theory to the type IIB theory or vice versa, an explicit map between the two parameterizations will be useful. In this note, we present such a linear map. Comparing the two parameterizations under the linear map, we reproduce the known T-duality transformation rules for the supergravity fields. We also obtain the T-duality rules for non-geometric $\beta$-/$\gamma$-fields appearing in the type II theory on a torus.

33 pages; v2: typos corrected, a reference added, to appear in PTEP

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Cited by in corpus (9)

• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• U-duality extension of Drinfel'd double
• Non-Abelian U-duality for membrane
• Weaving the Exotic Web
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Non-abelian U-duality at work
• Extended Drinfel'd algebras and non-Abelian duality
• Reductions of Exceptional Field Theories
• Exotic Aspects of Extended Field Theories