Connecting M-theory and type IIB parameterizations in exceptional field theory

Abstract

In exceptional field theory, there are two natural parameterizations for the generalized metric: in terms of bosonic fields in eleven-dimensional supergravity (M-theory parameterization), and type IIB supergravity (type IIB parameterization). In order to translate various results known in M-theory to type IIB theory or vice versa, an explicit map between the two parameterizations would 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. © The Author(s) 2017. Published by Oxford University Press on behalf of the Physical Society of Japan.