N=1 SUPERCONFORMAL MINIMAL MODEL CORRELATION-FUNCTIONS ON THE TORUS

The Coulomb gas formalism is employed to construct contour integral re presentations of two-point correlation functions on the torus for the N = 1 superconformal unitary discrete series, characterized by the sin gle integer p. (For the particular case of the tricritical Ising model , these include the energy and vacancy density operators.) Modular and monodromy properties of the superconformal blocks are examined, and t he generalization to superconformal theories of Verlinde's results on modular transformations and the fusion algebra are discussed in some d etail. For p odd the relevant modular matrix is (with respect to a par ticular basis) symmetric and unitary, as in ordinary rational conforma l theory. However, for p even, there appears to be an obstruction due to the Ramond vacuum state.