Two-dimensional fractional supersymmetric conformal- and logarithmic conformal- field theories and the two point functions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, Latex, no figures

Scientific paper

10.1007/s100520100671

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 $(\bar{L}_{-1},\bar{L}_{0},\bar{G}_{-1/(F+1)})$, 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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