A(2)2 parafermions: a new conformal field theory |
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| Institution: | 1. Center of Mathematical Physics, Department of Mathematics, University of Queensland, Brisbane, Qld 4072, Australia;2. Institute of Applied Mathematics, Academy of Mathematics and System Sciences; Chinese Academy of Sciences, PO Box 2734, 100080, PR China;1. Department of Communications, University of Campinas, 400 Albert Einstein Campinas, São Paulo, 13083852, Brazil;2. Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, San Diego, CA, 92182-7720, United States;1. St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034, Russia;2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Joliot-Curie 6, Dubna 141980, Russia;1. L.D. Landau Institute for Theoretical Physics, Kosygina street 2, 119334 Moscow, Russia;2. Laboratory for Condensed Matter Physics, National Research University Higher School of Economics, 101000 Moscow, Russia;3. Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany;4. Institut für Theorie der kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany;5. A. F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia;6. Petersburg Nuclear Physics Institute, 188300, St. Petersburg, Russia;1. Dipartimento di Fisica, Università della Calabria, Arcavacata di Rende I-87036, Cosenza, Italy;2. INFN, Gruppo collegato di Cosenza, Arcavacata di Rende, I-87036, Cosenza, Italy;3. Department of Physics and Astronomy and Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, B.C., Canada, V6T, 1Z1 |
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| Abstract: | A new parafermionic algebra associated with the homogeneous space A(2)2/U(1) and its corresponding Z-algebra have been recently proposed. In this paper, we give a free boson representation of the A(2)2 parafermion algebra in terms of seven free fields. Free field realizations of the parafermionic energy–momentum tensor and screening currents are also obtained. A new algebraic structure is discovered, which contains a W-algebra type primary field with spin two. |
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