Abstract
The generic embedding of the R + R 2 higher curvature theory into old-minimal supergravity leads to models with rich vacuum structure in addition to its well-known inflationary properties. When the model enjoys an exact R-symmetry, there is an inflationary phase with a single supersymmetric Minkowski vacuum. This appears to be a special case of a more generic set-up, which in principle may include R-symmetry violating terms which are still of pure supergravity origin. By including the latter terms, we find new supersymmetry breaking vacua compatible with single-field inflationary trajectories. We discuss explicitly two such models and we illustrate how the inflaton is driven towards the supersymmetry breaking vacuum after the inflationary phase. In these models the gravitino mass is of the same order as the inflaton mass. Therefore, pure higher curvature supergravity may not only accommodate the proper inflaton field, but it may also provide the appropriate hidden sector for supersymmetry breaking after inflation has ended.
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References
S.J. Gates, M.T. Grisaru, M. Roček and W. Siegel, Superspace Or One Thousand and One Lessons in Supersymmetry, hep-th/0108200 [INSPIRE].
J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A. (1992).
I.L. Buchbinder and S.M. Kuzenko, Ideas and methods of supersymmetry and supergravity: Or a walk through superspace, IOP, Bristol U.K. (1998).
D.Z. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press, Cambridge U.K. (2012).
D.H. Lyth and A. Riotto, Particle physics models of inflation and the cosmological density perturbation, Phys. Rept. 314 (1999) 1 [hep-ph/9807278] [INSPIRE].
A.A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity, Phys. Lett. B 91 (1980) 99 [INSPIRE].
V.F. Mukhanov and G.V. Chibisov, Quantum Fluctuation and Nonsingular Universe. (In Russian), JETP Lett. 33 (1981) 532 [INSPIRE].
A.A. Starobinsky, The Perturbation Spectrum Evolving from a Nonsingular Initially De-Sitte r Cosmology and the Microwave Background Anisotropy, Sov. Astron. Lett. 9 (1983) 302 [INSPIRE].
B. Whitt, Fourth Order Gravity as General Relativity Plus Matter, Phys. Lett. B 145 (1984) 176 [INSPIRE].
S. Ferrara, M.T. Grisaru and P. van Nieuwenhuizen, Poincaré and Conformal Supergravity Models With Closed Algebras, Nucl. Phys. B 138 (1978) 430 [INSPIRE].
S. Cecotti, Higher Derivative Supergravity is Equivalent to Standard Supergravity Coupled to Matter. 1, Phys. Lett. B 190 (1987) 86 [INSPIRE].
S. Cecotti, S. Ferrara, M. Porrati and S. Sabharwal, New Minimal Higher Derivative Supergravity Coupled to Matter, Nucl. Phys. B 306 (1988) 160 [INSPIRE].
S. Cecotti, S. Ferrara and L. Girardello, Massive Vector Multiplets From Superstrings, Nucl. Phys. B 294 (1987) 537 [INSPIRE].
F. Farakos, A. Kehagias and A. Riotto, On the Starobinsky Model of Inflation from Supergravity, Nucl. Phys. B 876 (2013) 187 [arXiv:1307.1137] [INSPIRE].
S. Ferrara, R. Kallosh, A. Linde and M. Porrati, Minimal Supergravity Models of Inflation, Phys. Rev. D 88 (2013) 085038 [arXiv:1307.7696] [INSPIRE].
A. Van Proeyen, Massive Vector Multiplets in Supergravity, Nucl. Phys. B 162 (1980) 376 [INSPIRE].
S. Ferrara, R. Kallosh, A. Linde and M. Porrati, Higher Order Corrections in Minimal Supergravity Models of Inflation, JCAP 11 (2013) 046 [arXiv:1309.1085] [INSPIRE].
S. Ferrara, P. Fré and A.S. Sorin, On the Topology of the Inflaton Field in Minimal Supergravity Models, JHEP 04 (2014) 095 [arXiv:1311.5059] [INSPIRE].
S. Ferrara, P. Fré and A.S. Sorin, On the Gauged Kähler Isometry in Minimal Supergravity Models of Inflation, Fortsch. Phys. 62 (2014) 277 [arXiv:1401.1201] [INSPIRE].
F. Farakos and R. von Unge, Naturalness and Chaotic Inflation in Supergravity from Massive Vector Multiplets, arXiv:1404.3739 [INSPIRE].
S. Ferrara and M. Porrati, Minimal R + R 2 Supergravity Models of Inflation Coupled to Matter, Phys. Lett. B 737 (2014) 135 [arXiv:1407.6164] [INSPIRE].
R. Kallosh, A. Linde and T. Rube, General inflaton potentials in supergravity, Phys. Rev. D 83 (2011) 043507 [arXiv:1011.5945] [INSPIRE].
R. Kallosh and A. Linde, Superconformal generalizations of the Starobinsky model, JCAP 06 (2013) 028 [arXiv:1306.3214] [INSPIRE].
R. Kallosh and A. Linde, Universality Class in Conformal Inflation, JCAP 07 (2013) 002 [arXiv:1306.5220] [INSPIRE].
S. Ferrara, R. Kallosh and A. Van Proeyen, On the Supersymmetric Completion of R + R 2 Gravity and Cosmology, JHEP 11 (2013) 134 [arXiv:1309.4052] [INSPIRE].
S.V. Ketov and T. Terada, Old-minimal supergravity models of inflation, JHEP 12 (2013) 040 [arXiv:1309.7494] [INSPIRE].
R. Kallosh, A. Linde and D. Roest, Universal Attractor for Inflation at Strong Coupling, Phys. Rev. Lett. 112 (2014) 011303 [arXiv:1310.3950] [INSPIRE].
R. Kallosh, A. Linde and D. Roest, Superconformal Inflationary α-Attractors, JHEP 11 (2013) 198 [arXiv:1311.0472] [INSPIRE].
S. Cecotti and R. Kallosh, Cosmological Attractor Models and Higher Curvature Supergravity, JHEP 05 (2014) 114 [arXiv:1403.2932] [INSPIRE].
I. Antoniadis, E. Dudas, S. Ferrara and A. Sagnotti, The Volkov-Akulov-Starobinsky supergravity, Phys. Lett. B 733 (2014) 32 [arXiv:1403.3269] [INSPIRE].
S. Ferrara, A. Kehagias and A. Riotto, The Imaginary Starobinsky Model, Fortsch. Phys. 62 (2014) 573 [arXiv:1403.5531] [INSPIRE].
K. Kamada and J. Yokoyama, Topological inflation from the Starobinsky model in supergravity, Phys. Rev. D 90 (2014) 103520 [arXiv:1405.6732] [INSPIRE].
S. Ferrara and A. Kehagias, Higher Curvature Supergravity, Supersymmetry Breaking and Inflation, arXiv:1407.5187 [INSPIRE].
S. Ferrara, R. Kallosh and A. Linde, Cosmology with Nilpotent Superfields, JHEP 10 (2014) 143 [arXiv:1408.4096] [INSPIRE].
M. Ozkan and Y. Pang, R n Extension of Starobinsky Model in Old Minimal Supergravity, Class. Quant. Grav. 31 (2014) 205004 [arXiv:1402.5427] [INSPIRE].
S.V. Ketov and A.A. Starobinsky, Embedding (R + R 2 )-Inflation into Supergravity, Phys. Rev. D 83 (2011) 063512 [arXiv:1011.0240] [INSPIRE].
S.V. Ketov and A.A. Starobinsky, Inflation and non-minimal scalar-curvature coupling in gravity and supergravity, JCAP 08 (2012) 022 [arXiv:1203.0805] [INSPIRE].
S.V. Ketov and S. Tsujikawa, Consistency of inflation and preheating in F(R) supergravity, Phys. Rev. D 86 (2012) 023529 [arXiv:1205.2918] [INSPIRE].
Y. Watanabe and J. Yokoyama, Gravitational modulated reheating and non-Gaussianity in supergravity R 2 inflation, Phys. Rev. D 87 (2013) 103524 [arXiv:1303.5191] [INSPIRE].
S.V. Ketov and T. Terada, Inflation in Supergravity with a Single Chiral Superfield, Phys. Lett. B 736 (2014) 272 [arXiv:1406.0252] [INSPIRE].
S.V. Ketov and T. Terada, Generic Scalar Potentials for Inflation in Supergravity with a Single Chiral Superfield, JHEP 12 (2014) 062 [arXiv:1408.6524] [INSPIRE].
J. Ellis, D.V. Nanopoulos and K.A. Olive, No-Scale Supergravity Realization of the Starobinsky Model of Inflation, Phys. Rev. Lett. 111 (2013) 111301 [arXiv:1305.1247] [INSPIRE].
J. Ellis, D.V. Nanopoulos and K.A. Olive, Starobinsky-like Inflationary Models as Avatars of No-Scale Supergravity, JCAP 10 (2013) 009 [arXiv:1307.3537] [INSPIRE].
J. Ellis, M.A.G. Garcia, D.V. Nanopoulos and K.A. Olive, A No-Scale Inflationary Model to Fit Them All, JCAP 08 (2014) 044 [arXiv:1405.0271] [INSPIRE].
J. Ellis and N.E. Mavromatos, Inflation induced by Gravitino Condensation in Supergravity, Phys. Rev. D 88 (2013) 085029 [arXiv:1308.1906] [INSPIRE].
J. Alexandre, N. Houston and N.E. Mavromatos, Starobinsky-type Inflation in Dynamical Supergravity Breaking Scenarios, Phys. Rev. D 89 (2014) 027703 [arXiv:1312.5197] [INSPIRE].
J. Alexandre, N. Houston and N.E. Mavromatos, Inflation via Gravitino Condensation in Dynamically Broken Supergravity, arXiv:1409.3183 [INSPIRE].
S.V. Ketov, Starobinsky Model in N = 2 Supergravity, Phys. Rev. D 89 (2014) 085042 [arXiv:1402.0626] [INSPIRE].
A. Ceresole, G. Dall’Agata, S. Ferrara, M. Trigiante and A. Van Proeyen, A search for an \( \mathcal{N}=2 \) inflaton potential, Fortsch. Phys. 62 (2014) 584 [arXiv:1404.1745] [INSPIRE].
P. Fré, A.S. Sorin and M. Trigiante, The c-map, Tits Satake subalgebras and the search for \( \mathcal{N}=2 \) inflaton potentials, arXiv:1407.6956 [INSPIRE].
K. Forger, B.A. Ovrut, S.J. Theisen and D. Waldram, Higher derivative gravity in string theory, Phys. Lett. B 388 (1996) 512 [hep-th/9605145] [INSPIRE].
D. Roest, M. Scalisi and I. Zavala, Kähler potentials for Planck inflation, JCAP 11 (2013) 007 [arXiv:1307.4343] [INSPIRE].
N. Kitazawa and A. Sagnotti, Pre-inflationary clues from String Theory?, JCAP 04 (2014) 017 [arXiv:1402.1418] [INSPIRE].
C. Kounnas, D. Lüst and N. Toumbas, \( {\mathrm{\mathcal{R}}}^2 \) inflation from scale invariant supergravity and anomaly free superstrings with fluxes, arXiv:1409.7076 [INSPIRE].
E. Kiritsis, Asymptotic freedom, asymptotic flatness and cosmology, JCAP 11 (2013) 011 [arXiv:1307.5873] [INSPIRE].
E.J. Copeland, C. Rahmede and I.D. Saltas, Asymptotically Safe Starobinsky Inflation, arXiv:1311.0881 [INSPIRE].
A. Hindawi, B.A. Ovrut and D. Waldram, Four-dimensional higher derivative supergravity and spontaneous supersymmetry breaking, Nucl. Phys. B 476 (1996) 175 [hep-th/9511223] [INSPIRE].
A. Hindawi, B.A. Ovrut and D. Waldram, Soft supersymmetry breaking induced by higher derivative supergravitation in the electroweak standard model, Phys. Lett. B 381 (1996) 154 [hep-th/9602075] [INSPIRE].
S. Ferrara, A. Kehagias and M. Porrati, Vacuum structure in a chiral R + R n modification of pure supergravity, Phys. Lett. B 727 (2013) 314 [arXiv:1310.0399] [INSPIRE].
T. Kugo and S. Uehara, Conformal and Poincaré Tensor Calculi in N = 1 Supergravity, Nucl. Phys. B 226 (1983) 49 [INSPIRE].
T. Kugo and S. Uehara, N = 1 Superconformal Tensor Calculus: Multiplets With External Lorentz Indices and Spinor Derivative Operators, Prog. Theor. Phys. 73 (1985) 235 [INSPIRE].
U. Lindström, A. Karlhede and M. Roček, The Component Gauges in Supergravity, Nucl. Phys. B 191 (1981) 549 [INSPIRE].
D. Butter, N=1 Conformal Superspace in Four Dimensions, Annals Phys. 325 (2010) 1026 [arXiv:0906.4399] [INSPIRE].
S. Ferrara and S. Sabharwal, Structure of New Minimal Supergravity, Annals Phys. 189 (1989) 318 [INSPIRE].
S. Ferrara, L. Girardello, T. Kugo and A. Van Proeyen, Relation Between Different Auxiliary Field Formulations of N = 1 Supergravity Coupled to Matter, Nucl. Phys. B 223 (1983) 191 [INSPIRE].
S. Ferrara and M. Villasante, Curvatures, Gauss-Bonnet and Chern-Simons Multiplets in Old Minimal N = 1 Supergravity, J. Math. Phys. 30 (1989) 104 [INSPIRE].
U. Lindström and M. Roček, CONSTRAINED LOCAL SUPERFIELDS, Phys. Rev. D 19 (1979) 2300 [INSPIRE].
F. Farakos and A. Kehagias, Decoupling Limits of sGoldstino Modes in Global and Local Supersymmetry, Phys. Lett. B 724 (2013) 322 [arXiv:1302.0866] [INSPIRE].
S.P. de Alwis, A Local Evaluation of Global Issues in SUSY breaking, JHEP 01 (2013) 190 [arXiv:1211.3913] [INSPIRE].
R. Kallosh, A. Linde, B. Vercnocke and T. Wrase, Analytic Classes of Metastable de Sitter Vacua, JHEP 1410 (2014) 11 [arXiv:1406.4866] [INSPIRE].
I. Dalianis and Z. Lalak, Cosmological vacuum selection and metastable SUSY breaking, JHEP 12 (2010) 045 [arXiv:1001.4106] [INSPIRE].
I. Dalianis and Z. Lalak, Cosmological vacuum selection, metastable SUSY breaking and moduli, Fortsch. Phys. 59 (2011) 1103 [INSPIRE].
A. Kehagias, A.M. Dizgah and A. Riotto, Remarks on the Starobinsky model of inflation and its descendants, Phys. Rev. D 89 (2014) 043527 [arXiv:1312.1155] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XXII. Constraints on inflation, Astron. Astrophys. 571 (2014) A22 [arXiv:1303.5082] [INSPIRE].
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Dalianis, I., Farakos, F., Kehagias, A. et al. Supersymmetry breaking and inflation from higher curvature supergravity. J. High Energ. Phys. 2015, 43 (2015). https://doi.org/10.1007/JHEP01(2015)043
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DOI: https://doi.org/10.1007/JHEP01(2015)043