Identities in Nonlinear Realization of Supersymmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

Supersymmetries can be realized either linearly or nonlinearly. Both realizations of one theory form its dual descriptions. Guided by this observation, we find subtle identities involving the Goldstino field and matter fields in nonlinear realization from trivial ones in linear realization. Rather complicated integrands in the nonlinear realization are identified as total-divergences. Especially, identities only involving the Goldstino field reveal the self-consistency of the Grassmann algebra. As an application, we prove that the nonlinear Kahler potential without or with gauge interactions is unique, if the corresponding linear one is fixed.

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