I review recent progress in the construction and classification of maximally supersymmetric theories with non-abelian gauge groups. The algebraic framework is based on the underlying exceptional symmetry groups. This has applications for supergravity theories describing flux compactifications as well as for the recently constructed three-dimensional superconformal theories describing the dynamics of multiple M2-branes.
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Huazhong Univ Sci & Technol, Sch Opt & Elect Informat, Wuhan 430074, Hubei, Peoples R China
Huazhong Univ Sci & Technol, Wuhan Natl Lab Optoelect, Wuhan 430074, Hubei, Peoples R ChinaHuazhong Univ Sci & Technol, Sch Opt & Elect Informat, Wuhan 430074, Hubei, Peoples R China
Chen, Yuntian
Zhang, Ruo-Yang
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Hong Kong Univ Sci & Technol, Dept Phys, Clear Water Bay, Hong Kong, Peoples R ChinaHuazhong Univ Sci & Technol, Sch Opt & Elect Informat, Wuhan 430074, Hubei, Peoples R China
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Soochow Univ, Sch Phys Sci & Technol, Suzhou 215006, Peoples R China
Soochow Univ, Inst Adv Study, Suzhou 215006, Peoples R ChinaHuazhong Univ Sci & Technol, Sch Opt & Elect Informat, Wuhan 430074, Hubei, Peoples R China
Hang, Zhi Hong
Li, Jensen
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Hong Kong Univ Sci & Technol, Dept Phys, Clear Water Bay, Hong Kong, Peoples R ChinaHuazhong Univ Sci & Technol, Sch Opt & Elect Informat, Wuhan 430074, Hubei, Peoples R China
Li, Jensen
Shen, Jian Qi
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Zhejiang Univ, Ctr Opt & Electromagnet Res, State Key Lab Modern Opt Instrumentat, Hangzhou 310058, Zhejiang, Peoples R ChinaHuazhong Univ Sci & Technol, Sch Opt & Elect Informat, Wuhan 430074, Hubei, Peoples R China
Shen, Jian Qi
Chan, C. T.
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Hong Kong Univ Sci & Technol, Dept Phys, Clear Water Bay, Hong Kong, Peoples R ChinaHuazhong Univ Sci & Technol, Sch Opt & Elect Informat, Wuhan 430074, Hubei, Peoples R China