F. Kheirandish et M. Khorrami, Two-dimensional fractional supersymmetric conformal and logarithmic conformal field theories and two point functions, EUR PHY J C, 20(3), 2001, pp. 593-597
A general two-dimensional fractional supersymmetric conformal field theory
is investigated. The structure of the symmetries of the theory is studied.
Applying the generators of the closed subalgebra generated by (L-1, L-0, G(
-1/(F+1))) and ((L) over bar (-1), (L) over bar (0), (G) over bar (-1/(F+1)
)), the two point functions of the component fields of supermultiplets are
calculated. Then the logarithmic superconformal field theories are investig
ated and the chiral and full two point functions are obtained.