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We give the manifestly T-dual formulation of the massless sector of theclassical 3D Type II superstring in off-shell 3D N=2 superspace, including theaction. It has a simple relation to the known superspace of 4D N=1 supergravityin 4D M-theory via 5D F-theory. The pre potential appears as part of thevielbein, without derivatives.

T-duality off shell in 3D Type II superspace