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 $(L_{-1},L_0,G_{-1/(F+1)})$ 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.

13 pages, Latex, no figures

References in corpus (1)

• Introduction to Superstring Theory

Cited by in corpus (4)

• Operator Product Expansion in Logarithmic Conformal Field Theory
• Logarithmic Superconformal Minimal Models
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• On Linear Differential Equations Involving a Para-Grassmann Variable