A Local Logarithmic Conformal Field Theory

Details A Local Logarithmic Conformal Field Theory A Local Logarithmic Conformal Field Theory

1998-07-13

arxiv.org/abs/hep-th/9807091v2

Nucl.Phys.B538:631-658,1999

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX, minor changes, reference added

Scientific paper

10.1016/S0550-3213(98)00701-9

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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