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Three-Forms, Supersymmetry and String Compactifications

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Abstract

We review a duality procedure that relates standard matter-coupled \(\mathcal{N} = 1\) supergravity to dual formulations in which auxiliary fields are replaced by field-strengths of gauge three-forms. As examples, we consider the dualization of the rigid Polonyi model and of effective field theories associated with Type IIA string compactifications with fluxes in supergravity.

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ACKNOWLEDGMENTS

We thank Irene Valenzuela for useful discussions. Work of F.F. is supported in part by the Interuniversity Attraction Poles Programme initiated by the Belgian Science Policy (P7/37) and the KU Leuven C1 grant ZKD1118 C16/16/005. Work of D.S. was supported in part by the Australian Research Council project no. DP160103633 and by the Russian Science Foundation grant 14-42-00047 in association with Lebedev Physical Institute.

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Correspondence to D. Sorokin.

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Farakos, F., Lanza, S., Martucci, L. et al. Three-Forms, Supersymmetry and String Compactifications. Phys. Part. Nuclei 49, 823–828 (2018). https://doi.org/10.1134/S1063779618050192

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