Abstract. We study the possibility of extending ghost systems with higher spin to a logarithmic conformal field theory. In particular we are interested in c = −26 which turns out to behave very differently to the already known c = −2 case. The energy momentum tensor cannot be built anymore by a combination of derivatives of generalized symplectic fermion fields. Moreover, the logarithmically extended theory is only consistent when considered on nontrivial Riemann surfaces. This results in a LCFT with some unexpected properties. For instance the Virasoro mode L₀ is diagonal and for certain values of the deformation parameters even the whole global conformal group is non-logarithmic.

Key words: Conformal Field Models in String Theory; Conformal and W Symmetry

E-print number: hep-th/0212016
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Refers: to

Received 9 December 2002, accepted for publication 13 January 2003
Published 28 January 2003