Quantum geometry of fermionic strings

In this paper, a formalism is extended to the case of supersymmetric strings. The effective theory which sums up fermionic surfaces is described by the supersymmetric Liouville equation. At D = 10 effective decoupling of the Liouville dilaton takes place and the author's theory coincides with the old ones. At d = 3 our theory is equivalent to the three-dimensional Ising model, which is thus reduced to the two-dimensional supersymmetric Liouville theory