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Nonlocal current algebra and N = 2 superconformal field theory in two dimensions
Affiliation:1. Stanford Institute for Materials and Energy Science, SLAC and Stanford University, Menlo Park, CA 94025, USA;2. Department of Physics, University of California, Berkeley, CA 94720, USA;3. Department of Physics, Washington University, St. Louis, MO 63130, USA;4. Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;1. National Center for Theoretical Sciences, National Tsing-Hua University, Hsinchu 30013, Taiwan;2. Department of Physics, Waseda University, Tokyo 169-8555, Japan
Abstract:
We present a new construction of the unitary highest weight representations of the N = 2 superconformal algebras in two dimensions. This construction is based on the non-local current in the ZN conformal theory and a free scalar field. It provides a physical realization of all the unitary N = 2 superconformal field theories by critical systems. The correlation functions of the theories can be calculated through this construction.
Keywords:
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