Ghost Systems Revisited: Modified Virasoro Generators and Logarithmic Conformal Field Theories

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 L_0 is diagonal and for certain values of the deformation parameters even the whole global conformal group is non-logarithmic.

arXiv comment24+1 pages LaTeX2e. Corrected an erroneous EU network number in the acknowledgments to HPRN-CT-2002-00325

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• Notes on Generalised Nullvectors in logarithmic CFT
• Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
• N-level ghost-spins and entanglement
• On Extensions of Superconformal Algebras
• Operator Product Expansion and Zero Mode Structure in Logarithmic CFT
• A Note on Four-Point Functions in Logarithmic Conformal Field Theory
• On a Logarithmic Deformation of the Supersymmetric bc-system on Curved Manifolds
• Indecomposable Representations in Z_n Symmetric b,c Ghost Systems via Deformations of the Virasoro Field