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Non-linear realizations of supersymmetry with off-shell central charges
Affiliation:1. Jiangsu Provincial Key Laboratory of Geographic Information Science and Technology, International Institute for Earth System Science, Nanjing University, Nanjing, Jiangsu 210046, China;2. Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application, Nanjing 210023, China;3. Department of Geography, University of Western Ontario, London, ON N6A 5C2, Canada;4. National Center for Atmospheric Research, Boulder, CO 80307, USA;5. School of Sustainable Engineering and the Built Environment, Arizona State University, Tempe, AZ 85287, USA;6. State Key Laboratory of Resources and Environmental Information System, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China;7. National Satellite Meteorological Center, Beijing 100081, China
Abstract:We present a new class of non-linear realizations of the extended supersymmetry algebra with central charges. They were obtained by applying the technique of dimensional reduction by Legendre transformation to a non-linear realization without central charges in one higher dimension. As a result an off-shell central charge is obtained. The non-linear lagrangian is the same as in the case of vanishing central charge. On-shell the central charge vanishes so this non-linear realization differs from that without central charges only off-shell. We work in two dimensions and discuss its extension to higher dimensions.
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