sentence1: namely , we need monodromy f r for type 0 theory and f sfor type ii theory , where the operators f r and f s are the right moving worldsheet fermion number and the spacetime fermion number , respectively .
sentence2: as is mentioned in , type ii theory compactified on s 1 with monodromy fs is tdual to type 0 theory on s 1 with monodromy f r , where f s and f r are operators that count spacetime fermions and right-moving worldsheet fermions , respectively .