Abstract
Starting from a definition of a hyperelliptic superRiemann surface (HESS), we study its supermoduli space and the “superVirasoro” algebra on it. We map that algebra into a Z 4 p=2 parafermionic algebra on CP 1,1. Using explicitly supersymmetric bosonization of the first-order superconformal systems, we construct explicitly the primary fields of the parafermionic algebra: the branching and the spin operators. We give a simple prescription for the calculation of sdet D γ on HESS through correlation functions of these branching operators. As an example, we calculate the g = 2 superstring partition function and verify that the cosmological constant vanishes, after integration over the moduli space.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
