1995/10/20 by Horst G. Kausch, Kausch, Horst G. · 10 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9510149
26 pages, LaTeX
arxiv created 1995/10/20 · openalex publication_date 1995/10/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Conformal field theory at c=-2 provides the simplest example of a theory with ``logarithmic'' operators. We examine in detail the (ξ,η) ghost system and Coulomb gas construction at c=-2 and show that, in contradistinction to minimal models, they can not be described in terms of conformal families of \em primary\/ fields alone but necessarily contain reducible but indecomposable representations of the Virasoro algebra. We then present a construction of ``logarithmic'' operators in terms of ``symplectic'' fermions displaying a global SL(2) symmetry. Orbifolds with respect to finite subgroups of SL(2) are reminiscent of the ADE classification of c=1 modular invariant partition functions, but are isolated models and not linked by massless flows.