Unitary representations of some infinite-dimensional Lie algebras motivated by string theory on AdS3 |
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| Institution: | 1. Centro di Diagnostica Genetica e Biochimica delle Malattie Metaboliche, Istituto G. Gaslini, Genova, Italy;2. Epidemiology and Biostatistics, Istituto G. Gaslini, Genova, Italy;3. Laboratory for the Study of Inborn Errors of Metabolism, Istituto G. Gaslini, Genova, Italy;4. Ca Granda Foundation IRCCS, Rare Diseases Centre, Milan,Italy;5. Dept of Clinical Science and Community, University of Milan, Italy |
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| Abstract: | We consider some unitary representations of infinite-dimensional Lie algebras motivated by string theory on AdS3. These include examples of two kinds: the A,D,E type affine Lie algebras and the N=4 superconformal algebra. The first presents a new construction for free field representations of affine Lie algebras. The second is of a particular physical interest because it provides some hints that a hybrid of the NSR and GS formulations for string theory on AdS3 exists. |
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