A proposed way to distinguish between different-dimensional and non-standard-dimensional superstring theories

One can define a superstring theory on a three-dimensional manifold and a non-standard-dimensional superstring theory on a two-dimensional manifold by taking a non-standard-dimensional superstring theory on a three-dimensional manifold by making a connection between the two dimensions. This connection can be constructed analytically or graphically by integrating out the standard-dimensional superstring theory. This allows one to obtain the partition functions of a non-standard-dimensional superstring theory on three dimensions by taking a standard-dimensional superstring theory on a two-dimensional manifold. Integrating out the standard-dimensional superstring theory gives the partition functions of a non-standard-dimensional superstring theory on two dimensions by taking a standard-dimensional superstring theory on a two-dimensional manifold. The partition function is given by the superposition of the two-dimensional and three-dimensional superstrings.