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• W2024886067 endingPage "240" @default.
• W2024886067 startingPage "223" @default.
• W2024886067 abstract "We provide a world-sheet interpretation to the plane wave limit of a large class of exact supergravity backgrounds in terms of logarithmic conformal field theories. As an illustrative example, we consider the two-dimensional conformal field theory of the coset model SU(2)N/U(1) times a free time-like boson U(1)−N, which admits a spacetime interpretation as a three-dimensional plane wave solution by taking a correlated limit à la Penrose. We show that upon a contraction of Saletan type, in which the parafermions of the compact coset model are combined with the free time-like boson, one obtains a novel logarithmic conformal field theory with central charge c=3. Our results are motivated at the classical level using Poisson brackets of the fields, but they are also explicitly demonstrated at the quantum level using exact operator product expansions. We perform several computations in this theory including the evaluation of the four-point functions involving primary fields and their logarithmic partners, which are identified. We also employ the extended conformal symmetries of the model to construct an infinite number of logarithmic operators. This analysis can be easily generalized to other exact conformal field theory backgrounds with a plane wave limit in the target space." @default.
• W2024886067 created "2016-06-24" @default.
• W2024886067 creator A5026463976 @default.
• W2024886067 creator A5035370267 @default.
• W2024886067 date "2002-09-01" @default.
• W2024886067 modified "2023-10-18" @default.
• W2024886067 title "PP-waves and logarithmic conformal field theories" @default.
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• W2024886067 doi "https://doi.org/10.1016/s0550-3213(02)00566-7" @default.
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