The linearised solutions to constraints in two-dimensional (2,O) supergravity are given. We derive the superconformal ghost action in superspace. The procedure for deriving the non-linear ( p , q ) geometries of the ( p , q + 1) and ( p + 1, q ) local superspaces is given.We apply this to the rewriting of the (1, 1) NSR superstring in (1,O) superspace and expressing the (2,O) supergravity constraints in the lower superspace. Finally, a new form of D = 2, N = 1 supergravity is presented.
We use previously derived results to write an action which describes the coupling of a set of string coordinates to simple unidexterous world-sheet supergravity. We demonstrate the presence of the fermionic symmetry that implies decoupling of unphysical string states, even when local (1,O) supersymmetry is realised on the world sheet of the string.
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