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A superstring model of four generations
Affiliation:2. Physics Department, University of Maryland, College Park, MD 20742, USA;1. CP3-Origins, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark;2. Institut für Theoretische Physik and Würzburg-Dresden Cluster of Excellence ct.qmat, TU Dresden, 01062 Dresden, Germany;1. School of Science, Huzhou University, Huzhou 313000, Zhejiang, China;2. Nuclear Reaction Data Centre (JCPRG), Hokkaido University, Sapporo 060-0810, Japan;3. Department of Physics, Hokkaido University, Sapporo 060-0810, Japan;4. RIKEN Nishina Center, Wako, Saitama 351-0198, Japan;5. Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Institute of Modern Physics, Fudan University, Shanghai 200433, China;6. Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, Shanghai 200438, China;1. Department of Computer Science and Technology, University of Cambridge, CB3 0FD, UK;2. Department of Mathematics, City, University of London, EC1V 0HB, UK;3. London Institute for Mathematical Sciences, Royal Institution, London, W1S 4BS, UK;4. Merton College, University of Oxford, OX1 4JD, UK;5. School of Physics, NanKai University, Tianjin, 300071, P.R. China;6. Centre for Theoretical Physics, Queen Mary, University of London, E1 4NS, UK;7. Institute of Mathematics, Statistics and Scientific Computing, University of Campinas (Unicamp), 13083-859, Brazil
Abstract:We construct a possibly realistic four-generation Calabi-Yau manifold by dividing the algebraic variety in CP4 × CP4 with the Z2×Z2 symmetry. The nontrivial embedding of Z2×Z2 in E(6) allows physically intriguing intermediate symmetry based on the U(1)×SU(2)L×SU(2)R×SU(4)C group. Also, the group of honest symmetries GH of the manifold is identified.
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