A local logarithmic conformal field theory |
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| Affiliation: | 1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge C133 9EW, UK;2. Department of Mathematical Sciences, University of Durham, South Road, Durham DHI 3LE, UK;1. Institut de Mathématiques de Toulouse & Institut Universitaire de France, UMR 5219, Université de Toulouse, CNRS, UPS IMT, F-31062 Toulouse Cedex 9, France;2. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK;1. Department of Physics, Stockholm University, Albanova University Center, SE-106 91 Stockholm, Sweden;2. Microsoft Station Q, University of California, Santa Barbara, CA 93106-6105, USA;3. Department of Mathematics, Texas A&M University, College Station, TX 77843, USA;4. Microsoft Station Q and Dept of Mathematics, University of California, Santa Barbara, CA 93106-6105, USA;1. Perimeter Institute for Theoretical Physics, 31 Caroline St. N., Waterloo, ON, Canada N2L 2Y5;2. Department of Physics and Astronomy, Clemson University, Clemson, SC 29634, USA;1. Ecole des Hautes Etudes en Sciences Sociales, CNRS UMR 8557, Centre d''Analyse et de Mathématique Sociales, 54 Boulevard Raspail, 75006 Paris, France;2. Université Paris-Sud Orsay, Laboratoire de Mathématiques d''Orsay, Bâtiment 307, 91405 Orsay, France |
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| Abstract: | ![]()
The local logarithmic conformal field theory corresponding to the triplet algebra at c = -2 is constructed. The constraints of locality and duality 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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