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N = 2 harmonic superspace with central charges and its application to self-interacting massive hypermultiplets
Affiliation:1. School of Science, Walailak University, Nakhon Si Thammarat, 80160, Thailand;2. College of Graduate Studies, Walailak University, Nakhon Si Thammarat, 80160, Thailand;1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil;2. Departamento de Física Teòrica and IFIC, Centro Mixto Universitat de València–CSIC, Universitat de València, Burjassot-46100, València, Spain;3. Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Fortaleza - CE, C.P. 6030, 60455-760 - Brazil;1. Department of Physics and Astronomy, University of Western Ontario, London, Ontario N6A 5B7, Canada;2. Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2J 2W9, Canada
Abstract:We investigate the structure of the harmonic superspace formalism with central charges for N = 2 supersymmetry, which is applicable to a wide class of N = 2 theories. As a simple application, the Lagrangian for self-interacting N = 2 massive scalar hypermultiplets is constructed in this formalism, and the interactions are explicitly obtained in terms of physical fields in the lowest order in the coupling constant. Although the theory looks highly unrenormalizable, remarkable cancellations take place so that all radiative corrections vanish in the lowest nontrivial order in the coupling constant.
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