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Particles and Fields


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, 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

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



© Società Italiana di Fisica, Springer-Verlag 2001