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The original Starobinsky $R + R^2$ model of inflation is consistent with Planck and other measurements of the CMB, but recent results from the ACT and SPT Collaborations hint that the tilt of scalar perturbations may be in tension with the…

High Energy Physics - Phenomenology · Physics 2025-08-20 John Ellis , Marcos A. G. Garcia , Natsumi Nagata , Dimitri V. Nanopoulos , Keith A. Olive

We generalise Starobinsky's model of inflation to space-times with $D>4$ dimensions, where $D-4$ dimensions are compactified on a suitable manifold. The $D$-dimensional action features Einstein-Hilbert gravity, a higher-order curvature…

High Energy Physics - Theory · Physics 2017-02-28 Santiago Pajón Otero , Francisco G. Pedro , Clemens Wieck

We show that a new class of helical phase inflation models can be simply realized in minimal supergravity, wherein the inflaton is the phase component of a complex field and its potential admits a deformed helicoid structure. We find a new…

High Energy Physics - Theory · Physics 2015-10-19 Tianjun Li , Zhijin Li , Dimitri V. Nanopoulos

We show that $R^2$ gravity coupled conformally to scalar fields is equivalent to the real bosonic sector of SU(N,1)/SU(N)$\times$U(1) no-scale supergravity, where the conformal factor can be identified with the K\"ahler potential, and we…

High Energy Physics - Theory · Physics 2018-03-07 John Ellis , Dimitri V. Nanopoulos , Keith A. Olive

We consider a cosmological inflation scenario based on a no-scale supergravity sector with $U(1)_R$ symmetry. It is shown that a tree level $U(1)_R$ symmetric superpotential alone does not lead to a slowly rolling scalar potential. A…

High Energy Physics - Phenomenology · Physics 2019-05-29 Shaaban Khalil , Ahmad Moursy , Abhijit Kumar Saha , Arunansu Sil

The Starobinsky inflation model is one of the simplest inflation models that is consistent with the cosmic microwave background observations. In order to explain dark matter of the universe, we consider a minimal extension of the…

High Energy Physics - Phenomenology · Physics 2022-07-27 Qiang Li , Takeo Moroi , Kazunori Nakayama , Wen Yin

A novel superstring-inspired gravitational theory in four spacetime dimensions is proposed as a sum of the modified $(R+\alpha R^2)$ gravity motivated by the Starobinsky inflation and the Bel-Robinson-tensor-squared term motivated by the…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Sergei V. Ketov

We study reheating processes and its cosmological consequences in the Starobinsky model embedded in the old-minimal supergravity. First, we consider minimal coupling between the gravity and matter sectors in the higher curvature theory, and…

High Energy Physics - Phenomenology · Physics 2015-06-23 Takahiro Terada , Yuki Watanabe , Yusuke Yamada , Jun'ichi Yokoyama

We describe extended theories which shares the gauge transformation symmetry of the T-models, and takes the T-models as well as Starobinsky model as special cases. We derive a general relation between the two slow-roll parameters, and find…

High Energy Physics - Theory · Physics 2014-10-03 Yi-Fu Cai , Jinn-Ouk Gong , Shi Pi

We review the status of the Starobinsky-like models for inflation beyond minimal gravity and discuss the unitarity problem due to the presence of a large non-minimal gravity coupling. We show that the induced gravity models allow for a…

High Energy Physics - Phenomenology · Physics 2018-01-24 Hyun Min Lee

Superstring/M-theory is the theory of quantum gravity that can provide the UV-completion to viable inflation models. We modify the Starobinsky inflation model by adding the Bel-Robinson tensor $T^{\mu\nu\lambda\rho}$ squared term proposed…

General Relativity and Quantum Cosmology · Physics 2023-02-06 Sergei V. Ketov , Ekaterina O. Pozdeeva , Sergey Yu. Vernov

We describe the primeval inflationary phase of the early Universe within a quantum field theoretical (QFT) framework that can be viewed as the effective action of vacuum decay in the early times. Interestingly enough, the model accounts for…

General Relativity and Quantum Cosmology · Physics 2016-07-22 Spyros Basilakos , Nick E. Mavromatos , Joan Sola

We show that the Starobinsky inflation model based on $R^2$ gravity has a special feature that it provides a unique scalaron-two-graviton vertex with a coupling proportional to $1/M_P$. In this model stochastic gravitational waves are…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Subhendra Mohanty , Sukanta Panda , Archit Vidyarthi

We propose a four-dimensional N = 1 supergravity-based Starobinsky-type inflationary model in terms of a single massive vector multiplet, whose action includes the Dirac-Born-Infeld-type kinetic terms and a generalized (new)…

High Energy Physics - Theory · Physics 2018-10-08 Hiroyuki Abe , Yermek Aldabergenov , Shuntaro Aoki , Sergei V. Ketov

We have constructed a large field N-flation model in the supergravity framework. In this simple set-up, N fields collectively drive inflation where each field traverses sub-Planckian field values. This has been realised with a…

High Energy Physics - Phenomenology · Physics 2015-12-30 Kumar Das , Koushik Dutta

The Starobinsky model is one of the inflation models consistent with the result of CMB observation by the Planck satellite. We consider the dynamics of the Starobinsky inflation in the presence of another scalar field with a large…

High Energy Physics - Phenomenology · Physics 2016-05-25 Shinta Kasuya , Kanto Moritake

We find the natural embedding of the (R+R^2)-inflationary model into the recently constructed N=1 F(\cal R)-supergravity. It gives a simple and viable realization of chaotic inflation in supergravity. The only requirement for a slow-roll…

High Energy Physics - Theory · Physics 2011-03-22 Sergei V. Ketov , Alexei A. Starobinsky

We present a model of inflation based on the anomaly-induced effective action of gravity in the presence of a conformally invariant Hilbert-Einstein term. Our approach is based on the conformal representation of the fields action and on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ilya L. Shapiro , Joan Sola

Recent analyses of low-redshift supernova and Cepheid data reveal localized shifts in the distance modulus, often interpreted as calibration anomalies or hints of new physics. We propose that these features may emerge naturally from…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-20 Davood Momeni

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…

High Energy Physics - Theory · Physics 2015-06-23 I. Dalianis , F. Farakos , A. Kehagias , A. Riotto , R. von Unge
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