Abstract
We study N=2 supergravity deformed by a genuine supersymmetric completion of the λR 4 term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2 supergravity with higher derivative deformation. Elimination of auxiliary fields leads to the deformation of the supersymmetry rules as well as to the deformation of the action, which becomes a Born-Infeld with higher derivative type action. We find that the gravitino supersymmetry deformation starts from \( \lambda {\partial^4}{{\mathcal{F}}^3} \) and has higher graviphoton couplings. In the action there are terms \( {\lambda^2}{\partial^8}{{\mathcal{F}}^6} \) and higher, in addition to original on shell counterterm deformation. These deformations are absent in the on shell superspace and in the candidate on shell counterterms of N=4, 8 supergravities, truncated down to N=2. We conclude therefore that the undeformed on shell superspace candidate counterterms break the N=2 part of local supersymmetry.
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ArXiv ePrint: 1208.4801
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Chemissany, W., Ferrara, S., Kallosh, R. et al. N=2 supergravity counterterms, off and on shell. J. High Energ. Phys. 2012, 89 (2012). https://doi.org/10.1007/JHEP12(2012)089
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DOI: https://doi.org/10.1007/JHEP12(2012)089