LOGARITHMIC N=1 SUPERCONFORMAL FIELD-THEORIES

We study the logarithmic superconformal field theories. Explicitly, th e two-point functions of N=1 logarithmic superconformal field theories (LSCFT) when the Jordan blocks are two (or more) dimensional, and whe n there are one (or more) Jordan block(s) have been obtained. Using th e well known three-point functions of N=1 superconformal field theory (SCFT), three-point functions of N=1 LSCFT are obtained. The general f orm of N=1 SCFT's four-point functions is also obtained, from which on e can easily calculate four-point functions in N=1 LSCFT. (C) 1998 Els evier Science B.V. All rights reserved.