Light-like Integrability in Loop Superspace

The standard superspace can be generalized to a loop superspace where the supercoordinates depend on a loop variable. This enables us to define a generalized covariant derivative containing a super 2-form which couples to a superstring. In this framework, the principle of light-like integrability leads, to the equations of motion of supergravity in ten dimensions. The super submanifold which plays an important role in the phenomenon of light-like integrability is closely related to the fermionic gauge symmetry, known as the κ-symmetry, of the manifestly spacetime supersymmetric string theory.