Two-dimensional fractional supersymmetric conformal- and logarithmic conformal- field theories and the two point functions
Abstract
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,L0,G-1/(F+1)) and (L-1,L0,G-1/(F+1)), the two point functions of the component-fields of supermultiplets are calculated. Then the logarithmic superconformal field theories are investigated and the chiral and full two-point functions are obtained.
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