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

Marco Krohn | Zendy; Michael Flohr | Zendy

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

Author(s) -

Marco Krohn,

Michael Flohr

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/01/020

Subject(s) - conformal field theory , conformal map , mathematical physics , symplectic geometry , diagonal , primary field , physics , tensor (intrinsic definition) , logarithm , stress–energy tensor , field (mathematics) , riemann surface , pure mathematics , mathematics , quantum mechanics , mathematical analysis , geometry , exact solutions in general relativity

We study the possibility of extending ghost systems with higher spin to alogarithmic conformal field theory. In particular we are interested in c=-26which turns out to behave very differently to the already known c=-2 case. Theenergy momentum tensor cannot be built anymore by a combination of derivativesof generalized symplectic fermion fields. Moreover, the logarithmically extended theory is only consistent whenconsidered on nontrivial Riemann surfaces. This results in a LCFT with someunexpected properties. For instance the Virasoro mode L_0 is diagonal and forcertain values of the deformation parameters even the whole global conformalgroup is non-logarithmic.Comment: 24+1 pages LaTeX2e. Corrected an erroneous EU network number in the acknowledgments to HPRN-CT-2002-0032

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