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.
Similar content being viewed by others
REFERENCES
B. A. Ovrut and D. Waldram, “Membranes and three form supergravity,” Nucl. Phys. B 506, 236–266 (1997); arXiv:hep-th/9704045.
R. Bousso and J. Polchinski, “Quantization of four form fluxes and dynamical neutralization of the cosmological constant,” JHEP 06, 006 (2000); arXiv:hep-th/0004134.
J. L. Feng, J. March-Russell, S. Sethi, and F. Wilczek, “Saltatory relaxation of the cosmological constant,” Nucl. Phys. B 602, 307–328 (2001); arXiv:hep-th/0005276.
K. Groh, J. Louis, and J. Sommerfeld, “Duality and couplings of 3-form-multiplets in N = 1 supersymmetry,” JHEP 05, 001 (2013); arXiv:1212.4639 [hep-th].
S. Bielleman, L. E. Ibanez, and I. Valenzuela, “Minkowski 3-forms, flux string vacua, axion stability and naturalness,” JHEP 12, 119 (2015); arXiv:1507.06793 [hep-th].
F. Farakos, A. Kehagias, D. Racco, and A. Riotto, “Scanning of the supersymmetry breaking scale and the gravitino mass in supergravity,” JHEP 06, 120 (2016); arXiv:1605.07631 [hep-th].
E. I. Buchbinder and S. M. Kuzenko, “Three-form multiplet and supersymmetry breaking,” arXiv:1705.07700 [hep-th].
S. M. Kuzenko and G. Tartaglino-Mazzucchelli, “Complex three-form supergravity and membranes,” JHEP 12, 005 (2017); arXiv:1710.00535 [hep-th].
E. I. Buchbinder, J. Hutomo, S. M. Kuzenko, and G. Tartaglino-Mazzucchelli, “Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions,” arXiv:1710.00554 [hep-th].
K. S. Stelle and P. C. West, “Minimal auxiliary fields for supergravity,” Phys. Lett. B 74, 330 (1978).
V. Ogievetsky and E. Sokatchev, “Structure of supergravity group,” Phys. Lett. B 79, 222 (1978).
V. Ogievetsky and E. Sokatchev, “Equation of motion for the axial gravitational superfield,” Sov. J. Nucl. Phys. 32, 589 (1980).
S. J. Gates, Jr., “Super P-form gauge superfields,” Nucl. Phys. B 184, 381–390 (1981).
S. J. Gates, Jr. and W. Siegel, “Variant superfield representations,” Nucl. Phys. B 187, 389–396 (1981).
F. Farakos, S. Lanza, L. Martucci, and D. Sorokin, “Three-forms in supergravity and flux compactifications,” Eur. Phys. J. C 77, 602 (2017); arXiv:1706.09422 [hep-th].
J. Wess and J. Bagger, Supersymmetry and Supergravity, Princeton, U.S.A.: Princeton University Press, 1992.
T. W. Grimm and J. Louis, “The effective action of type IIA Calabi–Yau orientifolds,” Nucl. Phys. B 718, 153–202 (2005); arXiv:hep-th/0412277.
F. Carta, F. Marchesano, W. Staessens, and G. Zoccarato, “Open string multi-branched and Kähler potentials,” JHEP 09, 062 (2016); arXiv:1606.00508 [hep-th].
T. Kugo and S. Uehara, “Improved superconformal gauge conditions in the \(N = 1\) supergravity Yang–Mills matter system,” Nucl. Phys. B 222, 125–138 (1983).
J. Louis and A. Micu, “Type 2 theories compactified on Calabi–Yau threefolds in the presence of background fluxes,” Nucl. Phys. B 635, 395–431 (2002); arXiv:hep-th/0202168.
J. D. Brown and C. Teitelboim, “Dynamical neutralization of the cosmological constant,” Phys. Lett. B 195, 177–182 (1987).
J. D. Brown and C. Teitelboim, “Neutralization of the cosmological constant by membrane creation,” Nucl. Phys. B 297, 787–836 (1988).
M. Huebscher, P. Meessen, and T. Ortin, “Domain walls and instantons in N = 1, d = 4 supergravity,” JHEP 06, 001 (2010); arXiv:0912.3672 [hep-th].
I. A. Bandos and C. Meliveo, “Superfield equations for the interacting system of D = 4, N = 1 supermembrane and scalar multiplet,” Nucl. Phys. B 849, 1–27 (2011); arXiv:1011.1818 [hep-th].
I. A. Bandos and C. Meliveo, “Supermembrane interaction with dynamical D = 4, N = 1 supergravity. Superfield Lagrangian description and spacetime equations of motion,” JHEP 08, 140 (2012); arXiv:1205.5885 [hep-th].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
1The article is published in the original.
Rights and permissions
About this article
Cite this article
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
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063779618050192