75 research outputs found
Logarithmic conformal field theories with continuous weights
We study the logarithmic conformal field theories in which conformal weights
are continuous subset of real numbers. A general relation between the
correlators consisting of logarithmic fields and those consisting of ordinary
conformal fields is investigated. As an example the correlators of the
Coulomb-gas model are explicitly studied.Comment: Latex, 12 pages, IPM preprint, to appear in Phys. Lett.
A Logarithmic Conformal Field Theory Solution For Two Dimensional Magnetohydrodynamics In Presence of The Alf'ven Effect
When Alf`ven effect is peresent in magnetohydrodynamics one is naturally lead
to consider conformal field theories, which have logarithmic terms in their
correlation functions. We discuss the implications of such logarithmic terms
and find a unique conformal field theory with centeral charge
, within the border of the minimal series, which satisfies
all the constraints. The energy espectrum is found to be \newline .Comment: Latex, 9 page
Logarithmic Operators in Conformal Field Theory and The \W_\infty-algebra
It is shown explicitly that the correlation functions of Conformal Field
Theories (CFT) with the logarithmic operators are invariant under the
differential realization of Borel subalgebra of \W_\infty-algebra. This
algebra is constructed by tensor-operator algebra of differential
representation of ordinary . This method allows us to write
differential equations which can be used to find general expression for three
and four-point correlation functions possessing logarithmic operators. The
operator product expansion (OPE) coefficients of general logarithmic CFT are
given up to third level.Comment: 19 pages, LaTex, no figures, Version to appear in Int. J. Mod. Phys.
A 12 (1997
Stress Energy tensor in LCFT and the Logarithmic Sugawara construction
We discuss the partners of the stress energy tensor and their structure in
Logarithmic conformal field theories. In particular we draw attention to the
fundamental differences between theories with zero and non-zero central charge.
However they are both characterised by at least two independent parameters. We
show how, by using a generalised Sugawara construction, one can calculate the
logarithmic partner of T. We show that such a construction works in the c=-2
theory using the conformal dimension one primary currents which generate a
logarithmic extension of the Kac-Moody algebra.Comment: 19 pages. Minor correction
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