A Local Logarithmic Conformal Field Theory

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.

29 pages, LaTeX, minor changes, reference added

References in corpus (1)

• An Intersecting Loop Model as a Solvable Super Spin Chain

Cited by in corpus (133)

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