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A Local Logarithmic Conformal Field Theory

1998/07/31 by Matthias R. Gaberdiel, Horst G. Kausch · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/s0550-3213(98)00701-9

published as Nucl.Phys.B538:631-658,1999 · 29 pages, LaTeX, minor changes, reference added

arxiv created 1998/10/08 · arxiv updated 2011/09/29

Abstract

The local logarithmic conformal field theory corresponding to the triplet algebra at c=-2 is constructed. The constraints of locality and crossing symmetry are explored in detail, and a consistent set of amplitudes is found. The spectrum of the corresponding theory is determined, and it is found to be modular invariant. This provides the first construction of a non-chiral rational logarithmic conformal field theory, establishing that such models can indeed define bona fide conformal field theories.

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