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Modular transformation and boundary states in logarithmic conformal field theory
2001
Physics Letters B
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We study the c=-2 model of logarithmic conformal field theory in the presence of a boundary using symplectic fermions. We find boundary states with consistent modular properties. A peculiar feature of this model is that the vacuum representation corresponding to the identity operator is a sub-representation of a "reducible but indecomposable" larger representation. This leads to unusual properties, such as the failure of the Verlinde formula. Despite such complexities in the structure of
doi:10.1016/s0370-2693(01)00503-2
fatcat:qfn6dek5e5czbjkkuxfbhfevym