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

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

2002-12-02

arxiv.org/abs/hep-th/0212016v2

JHEP 0301 (2003) 020

Physics

High Energy Physics

High Energy Physics - Theory

24+1 pages LaTeX2e. Corrected an erroneous EU network number in the acknowledgments to HPRN-CT-2002-00325

Scientific paper

10.1088/1126-6708/2003/01/020

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.

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