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

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