Eur. Phys. J. C 20, 593-597 (2001)
DOI: 10.1007/s100520100671
Two-dimensional fractional supersymmetric conformal and logarithmic conformal field theories and two point functions
F. Kheirandish1, 2 and M. Khorrami1, 31 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
fardin@iasbs.ac.ir
mamwad@iasbs.ac.ir
(Received: 15 December 2000 / Revised version: 19 March 2001 / Published online: 18 May 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)
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
, 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
