Generalised bosonic construction of Virasoro algebras |
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| Affiliation: | 1. Department of Animal Science, Faculty of Agriculture, Shahid Bahonar University of Kerman, Kerman, Iran;2. Department of Food Hygiene and Public Health, Faculty of Veterinary Medicine, Shahid Bahonar University of Kerman, Kerman, Iran;1. Departments of Neuroscience, Reproductive Sciences and Dentistry (Drs Saccone, Della Corte, Cuomo, Reppuccia, Murolo, Di Napoli, and Locci), School of Medicine, University of Naples Federico II, Naples, Italy;2. Public Health (Dr Bifulco), School of Medicine, University of Naples Federico II, Naples, Italy |
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| Abstract: | Energy-momentum tensors of conformal field theories and some of their primary fields, including those of parafermionic theories based on simply-laced Lie algebras, are constructed from free bosons. The classification of such theories requires a generalisation of the root systems of Lie algebras. The complete list of such energy-momentum tensors, that can be constructed from two free bosons, includes those of the first four c<1 theories. |
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