PARTITION-FUNCTION FOR N = 1,C = 3/2 SUPERCONFORMAL MODEL ON THE SUPERTORUS WITH 2 PUNCTURES

In view of the Krichever-Novikov (KN) framework, we calculate the partition function for the N = 1, c = 3/2 superconformal model on the supertorus with two distinguished punctures. According to boundary conditions for fermionic fields around two punctures, partition functions are classified into the partition function for the Neveu-Schwarz sector Z(NS) and the partition function for the Ramond sector Z(R). Considering the two insertions of fields as boundary conditions for the partition function in the KN construction, Z(NS) (Z(R)) is identical to the two-point function of vortex operators (spin fields) on the supertorus.