Abstract
We present the action and transformation rules of Poincaré supergravity coupled to chiral multiplets (z α , χ α , h α) with off-shell auxiliary fields. Starting from the geometric formulation of the superconformal theory with auxiliary fields, we derive the Poincaré counterpart by gauge-fixing the Weyl and chiral symmetry and S-supersymmetry. We show how this transition is facilitated by retaining explicit target-space covariance. Our results form a convenient starting point to study models with constrained superfields, including general matter-coupled de Sitter supergravity.
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References
E.A. Bergshoeff, D.Z. Freedman, R. Kallosh and A. Van Proeyen, Pure de Sitter Supergravity, Phys. Rev. D 92 (2015) 085040 [Erratum ibid. D 93 (2016) 069901] [1507.08264] [INSPIRE].
F. Hasegawa and Y. Yamada, Component action of nilpotent multiplet coupled to matter in 4 dimensional \( \mathcal{N}=1 \) supergravity, JHEP 10 (2015) 106 [1507.08619] [INSPIRE].
R. Kallosh, Matter-coupled de Sitter Supergravity, Theor. Math. Phys. 187 (2016) 695 [1509.02136] [INSPIRE].
R. Kallosh and T. Wrase, de Sitter Supergravity Model Building, Phys. Rev. D 92 (2015) 105010 [1509.02137] [INSPIRE].
M. Schillo, E. van der Woerd and T. Wrase, The general de Sitter supergravity component action, Fortsch. Phys. 64 (2016) 292 [1511.01542] [INSPIRE].
G. Dall’Agata, S. Ferrara and F. Zwirner, Minimal scalar-less matter-coupled supergravity, Phys. Lett. B 752 (2016) 263 [1509.06345] [INSPIRE].
S. Ferrara, R. Kallosh and J. Thaler, Cosmology with orthogonal nilpotent superfields, Phys. Rev. D 93 (2016) 043516 [1512.00545] [INSPIRE].
G. Dall’Agata and F. Farakos, Constrained superfields in Supergravity, JHEP 02 (2016) 101 [1512.02158] [INSPIRE].
S. Ferrara, R. Kallosh, A. Van Proeyen and T. Wrase, Linear Versus Non-linear Supersymmetry, in General, JHEP 04 (2016) 065 [1603.02653] [INSPIRE].
L.V. Delacretaz, V. Gorbenko and L. Senatore, The Supersymmetric Effective Field Theory of Inflation, 1610.04227 [INSPIRE].
N. Cribiori, G. Dall’Agata, F. Farakos and M. Porrati, Minimal Constrained Supergravity, Phys. Lett. B 764 (2017) 228 [1611.01490] [INSPIRE].
D.Z. Freedman, D. Roest and A. Van Proeyen, A Geometric Formulation of Supersymmetry, Fortschr. Phys. 65 (2017) 5 [1609.07362] [INSPIRE].
T. Kugo and S. Uehara, Improved Superconformal Gauge Conditions in the N = 1 Supergravity Yang-Mills Matter System, Nucl. Phys. B 222 (1983) 125 [INSPIRE].
T. Kugo and S. Uehara, Conformal and Poincaré Tensor Calculi in N = 1 Supergravity, Nucl. Phys. B 226 (1983) 49 [INSPIRE].
E. Bergshoeff, S. Cucu, T. De Wit, J. Gheerardyn, R. Halbersma, S. Vandoren et al., Superconformal N = 2, D = 5 matter with and without actions, JHEP 10 (2002) 045 [hep-th/0205230] [INSPIRE].
D.Z. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press (2012).
E. Sezgin and Y. Tanii, Superconformal σ-models in higher than two-dimensions, Nucl. Phys. B 443 (1995) 70 [hep-th/9412163] [INSPIRE].
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ArXiv ePrint: 1701.05216
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Freedman, D.Z., Roest, D. & Van Proeyen, A. Off-shell Poincaré supergravity. J. High Energ. Phys. 2017, 102 (2017). https://doi.org/10.1007/JHEP02(2017)102
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DOI: https://doi.org/10.1007/JHEP02(2017)102