Non-abelian bosonization in higher genus Riemann surfaces |
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| Affiliation: | 1. Department of Computer Science, Tufts University, Medford, MA, USA;2. Department of Mathematics, Ruhr University Bochum, Bochum, Germany;3. Department of Computer Science, Tulane University, New Orleans, USA;1. Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China;2. Center of Mathematical Sciences and Applications, Harvard University, Cambridge, MA 02138, USA;3. School of Natural Sciences, Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA;1. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA;2. Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;3. Department of Physics, Harvard University, Cambridge, MA 02138, USA;1. Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E1, Canada;2. Theoretical Physics Institute (TPI), University of Alberta, Edmonton, Alberta T6G 2E1, Canada |
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| Abstract: | We propose a generalization of the character formulas of the SU (2) Kac-Moody algebra to higher genus Riemann surfaces. With this construction, we show that the modular invariant partition function of the SO(4) k=1 Wess-Zumino model is equivalent, in arbitrary genus Riemann surfaces, to that of free fermion theory. |
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