Spontaneous symmetry breaking in N=2 supergravity with matter

Mathematics

Scientific paper

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Broken Symmetry, Cosmology, Fine Structure, Lie Groups, Mathematical Models, Supergravity, Dirac Equation, Operators (Mathematics)

Scientific paper

New versions of the N = 2 supergravity hidden sector have been constructed allowing spontaneous symmetry breaking without a cosmological term and with two arbitrary scales, in particular, the partial super-Higgs effect. On this basis, spontaneous symmetry breaking has been investigated in the models of N = 2 supergravity with an arbitrary number of vector and hypermultiplets. As has been shown, the possibility to get breaking without a cosmological a term is connected with the presence of nilpotent combinations of compact and non-compact generators in an isometry group of a sigma-model.

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