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Edge states for quantum Hall droplets in higher dimensions and a generalized WZW model
Affiliation:1. Department of Physics and Astronomy, Lehman College of the CUNY, Bronx, NY 10468, USA;2. Physics Department, City College of the CUNY, New York, NY 10031, USA;1. Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas, Carretera Emiliano Zapata, Km. 8, Rancho San Francisco, 29050, Tuxtla Gutiérrez, Chiapas, Mexico;2. Instituto de Fisica, Universidad Nacional Autónoma de México, Apartado Postal 20-364,01000, Ciudad de México, Mexico;1. College of Physics and Engineering, Henan University of Science and Technology, Luoyang 471023, People''s Republic of China;2. College of Physical Science and Technology, Sichuan University, Chengdu 610065, People''s Republic of China;1. Dipartimento di Fisica “Ettore Pancini”, Università di Napoli Federico II, Napoli, Italy;2. INFN, Sezione di Napoli, Italy;3. Departament de Física Quàntica i Astrofísica, and Institut de Cíencies del Cosmos (ICCUB), Universitat de Barcelona, Barcelona, Spain;1. Department of Pharmaceutical Engineering, School of Chemistry and Chemical Engineering, Southeast University/Jiangsu Province Hi-Tech Key Laboratory for Biomedical Research, Southeast University, Nanjing 211189, PR China;2. Key Laboratory of Novel Food Resources Processing, Ministry of Agriculture/Key Laboratory of Agro-Products Processing Technology of Shandong Province/Institute of Agro-Food Science and Technology, Shandong Academy of Agricultural Sciences, Jinan 250100, PR China;1. Depto de Electricidad y Electrónica, Universidad del País Vasco UPV/EHU, 48940 Leioa, Spain;2. Ural Federal University, Institute of Natural Sciences, 620000 Ekaterinburg, Russia;3. BCMaterials, Universidad del País Vasco (UPV/EHU), 48080 Bilbao, Spain;4. Department of Material Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA;5. Institute of Electrophysics UD RAS, 620016 Ekaterinburg, Russia;6. Department of Biomedical Physics and Engineering, Ural State Medical University, Ekaterinburg 620028, Russia
Abstract:We consider quantum Hall droplets on complex projective spaces with a combination of Abelian and non-Abelian background magnetic fields. Carrying out an analysis similar to what was done for Abelian backgrounds, we show that the effective action for the edge excitations is given by a chiral, gauged Wess–Zumino–Witten (WZW) theory generalized to higher dimensions.
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