Deformed fields and Moyal construction of deformed super Virasoro algebra |
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| Institution: | 1. Nonlinear Physics Laboratory, Department of Physics, School of Science, Kitasato University, Sagamihara 228-8555, Japan;2. Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea;1. Photonics Research Center, Department of Electrical Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong SAR, China;2. Biosensor National Special Laboratory, College of Biomedical Engineering and Instrument Science, Zhejiang University, Hangzhou 310027, China;1. Centre of Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study, Massey University Auckland, 0745 Auckland, New Zealand;2. Department of Physical and Theoretical Chemistry, Faculty of Natural Sciences, Comenius University, Mlynská Dolina, 841 04 Bratislava, Slovakia;3. Centre of Theoretical Chemistry and Physics, Institute for Natural and Mathematical Sciences, Massey University Auckland, 0745 Auckland, New Zealand;1. Laboratory of Geographic Information Systems (LaSIG), EPFL, Lausanne, Switzerland;2. InsIT, University of Applied Sciences and Arts Western Switzerland (HEIG-VD), Yverdon-Les-Bains, Switzerland;3. LASTIG, Univ Gustave Eiffel, ENSG, IGN, F-94160 Saint-Mandé, France |
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| Abstract: | Studied is the deformation of super Virasoro algebra proposed by Belov and Chaltikian. Starting from abstract realizations in terms of the FFZ type generators, various connections of them to other realizations are shown, especially to deformed field representations, whose bosonic part generator is recently reported as a deformed string theory on a noncommutative world-sheet. The deformed Virasoro generators can also be expressed in terms of ordinary free fields in a highly nontrivial way. |
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