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Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
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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.
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Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
Mixed-symmetry potentials such as the dual graviton are embedded into exceptional field theory's p-form multiplets, with T- and S-duality rules derived for the E8 case.
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