Superspace with manifest T-duality from type II superstring

A superspace formulation of type II superstring background with manifest T-duality symmetry is presented. This manifestly T-dual formulation is constructed in a space spanned by two sets of nondegenerate super-Poincaré algebras. Supertorsion constraints are obtained from consistency of the κ-symmetric Virasoro constraints. All superconnections and vielbein fields are solved in terms of a prepotential which is one of the vielbein components. AdS5×S5 background is explained in this formulation.