Fotis Farakos, Alex Kehagias
We study the decoupling limit of a superheavy sgoldstino field in spontaneously broken ${\cal{N}}=1$ supergravity. After discussing sgoldstino decoupling in spontaneously broken globally supersymmetric theories in superspace, we analyze the same limit in supergravity. Our approach is based on K\"ahler superspace, which, among others, allows direct formulation of ${\cal N}=1$ supergravity in the Einstein frame and correct identifications of mass parameters. Allowing for a non-renormalizable K\"ahler potential in the hidden sector, the decoupling limit of a superheavy sgoldstino is identified with an infinite negative K\"ahler curvature. Constraints that lead to non-linear realizations of supersymmetry emerge as consequence of the equations of motion of the goldstino superfield when considering the decoupling limit. We also analyze supersymmetry breaking and sgoldstino decoupling in the case of many chiral multiplets. Finally, by employing superspace Bianchi identities, we identify the real chiral superfield, which will be the superconformal symmetry breaking chiral superfield that enters the conservation of the Ferrra-Zumino multiplet in the field theory limit of ${\cal N}=1 $ supergravity.
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http://arxiv.org/abs/1302.0866
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