Eur. Phys. J. C 20, 593-597 (2001)
Two-dimensional fractional supersymmetric conformal and logarithmic conformal field theories and two point functionsF. Kheirandish1, 2 and M. Khorrami1, 3
1 Institute for Advanced Studies in Basic Sciences, P.O. Box 159, Zanjan 45195, Iran
2 Science Department, Zanjan University, P.O. Box 45371-38791, Zanjan, Iran
3 Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 5531, Tehran 19395, Iran
(Received: 15 December 2000 / Revised version: 19 March 2001 / Published online: 18 May 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)
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 , 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.
© Società Italiana di Fisica, Springer-Verlag 2001